48926253588480 has 1344 divisors, whose sum is σ = 180616960218240. Its totient is φ = 12699939373056.

The previous prime is 48926253588469. The next prime is 48926253588547. The reversal of 48926253588480 is 8488535262984.

48926253588480 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 6 + 2 + 535 + 8 + 8 + 4 + 80 = 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 = 48926253588399 and 48926253588408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85986385636 + ... + 85986386204.

It is an arithmetic number, because the mean of its divisors is an integer number (134387619210).

Almost surely, 2^{48926253588480} is an apocalyptic number.

48926253588480 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 48926253588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90308480109120).

48926253588480 is an abundant number, since it is smaller than the sum of its proper divisors (131690706629760).

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

48926253588480 is an equidigital number, since it uses as much as digits as its factorization.

48926253588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 48926253588480 in words is "forty-eight trillion, nine hundred twenty-six billion, two hundred fifty-three million, five hundred eighty-eight thousand, four hundred eighty".