53099912102400 has 1920 divisors, whose sum is σ = 208556541050880. Its totient is φ = 13375118131200.

The previous prime is 53099912102387. The next prime is 53099912102483. The reversal of 53099912102400 is 420121999035.

53099912102400 is a `hidden beast` number, since 5 + 30 + 9 + 99 + 121 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37315468089 + ... + 37315469511.

It is an arithmetic number, because the mean of its divisors is an integer number (108623198464).

Almost surely, 2^{53099912102400} is an apocalyptic number.

53099912102400 is a gapful number since it is divisible by the number (50) 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 53099912102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104278270525440).

53099912102400 is an abundant number, since it is smaller than the sum of its proper divisors (155456628948480).

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

53099912102400 is an equidigital number, since it uses as much as digits as its factorization.

53099912102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 53099912102400 in words is "fifty-three trillion, ninety-nine billion, nine hundred twelve million, one hundred two thousand, four hundred".