48292589292480 has 2688 divisors, whose sum is σ = 202927931781120. Its totient is φ = 10829089013760.

The previous prime is 48292589292469. The next prime is 48292589292553. The reversal of 48292589292480 is 8429298529284.

48292589292480 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 2 + 58 + 9 + 2 + 92 + 480 = 666.

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 = 48292589292399 and 48292589292408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55065665802 + ... + 55065666678.

It is an arithmetic number, because the mean of its divisors is an integer number (75494022240).

Almost surely, 2^{48292589292480} is an apocalyptic number.

48292589292480 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 48292589292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101463965890560).

48292589292480 is an abundant number, since it is smaller than the sum of its proper divisors (154635342488640).

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

48292589292480 is a wasteful number, since it uses less digits than its factorization.

48292589292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 48292589292480 in words is "forty-eight trillion, two hundred ninety-two billion, five hundred eighty-nine million, two hundred ninety-two thousand, four hundred eighty".