48276505788480 has 336 divisors, whose sum is σ = 169349411662704. Its totient is φ = 12619459215360.

The previous prime is 48276505788461. The next prime is 48276505788481. The reversal of 48276505788480 is 8488750567284.

48276505788480 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 6 + 5 + 0 + 578 + 8 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 695315828736 + 47581189959744 = 833856^2 + 6897912^2 .

It is a super-2 number, since 2×48276505788480² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48276505788399 and 48276505788408.

It is not an unprimeable number, because it can be changed into a prime (48276505788481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51005302 + ... + 51943178.

It is an arithmetic number, because the mean of its divisors is an integer number (504016106139).

Almost surely, 2^{48276505788480} is an apocalyptic number.

48276505788480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48276505788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84674705831352).

48276505788480 is an abundant number, since it is smaller than the sum of its proper divisors (121072905874224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48276505788480 is a wasteful number, since it uses less digits than its factorization.

48276505788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938254 (or 938241 counting only the distinct ones).

The product of its (nonzero) digits is 963379200, while the sum is 72.

The spelling of 48276505788480 in words is "forty-eight trillion, two hundred seventy-six billion, five hundred five million, seven hundred eighty-eight thousand, four hundred eighty".