48759924326400 has 1560 divisors, whose sum is σ = 207299007702600. Its totient is φ = 11145125560320.

The previous prime is 48759924326383. The next prime is 48759924326401. The reversal of 48759924326400 is 462342995784.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4! ⋅ (3!)⁷ ⋅ 2!.

48759924326400 is a `hidden beast` number, since 4 + 8 + 7 + 59 + 92 + 432 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48759924326401) by changing a digit.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 6965703475197 + ... + 6965703475203.

Almost surely, 2^{48759924326400} is an apocalyptic number.

48759924326400 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 48759924326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103649503851300).

48759924326400 is an abundant number, since it is smaller than the sum of its proper divisors (158539083376200).

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

48759924326400 is an frugal number, since it uses more digits than its factorization.

48759924326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 48759924326400 in words is "forty-eight trillion, seven hundred fifty-nine billion, nine hundred twenty-four million, three hundred twenty-six thousand, four hundred".