102572800406000 has 40 divisors (see below), whose sum is σ = 248021031386544. Its totient is φ = 41029120161600.

The previous prime is 102572800405997. The next prime is 102572800406023. The reversal of 102572800406000 is 604008275201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×102572800406000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25643198102 + ... + 25643202101.

Almost surely, 2^{102572800406000} is an apocalyptic number.

102572800406000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102572800406000 is an abundant number, since it is smaller than the sum of its proper divisors (145448230980544).

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

102572800406000 is an equidigital number, since it uses as much as digits as its factorization.

102572800406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51286400226 (or 51286400210 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 102572800406000 in words is "one hundred two trillion, five hundred seventy-two billion, eight hundred million, four hundred six thousand".