102552251612400 has 180 divisors, whose sum is σ = 369065718693672. Its totient is φ = 27347267070720.

The previous prime is 102552251612347. The next prime is 102552251612471. The reversal of 102552251612400 is 4216152255201.

102552251612400 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 225 + 16 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 527434959 + ... + 527629358.

Almost surely, 2^{102552251612400} is an apocalyptic number.

102552251612400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102552251612400 is an abundant number, since it is smaller than the sum of its proper divisors (266513467081272).

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

102552251612400 is a wasteful number, since it uses less digits than its factorization.

102552251612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055064350 (or 1055064327 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 102552251612400 in words is "one hundred two trillion, five hundred fifty-two billion, two hundred fifty-one million, six hundred twelve thousand, four hundred".