102552933139200 has 486 divisors, whose sum is σ = 386962972891404. Its totient is φ = 25908104171520.

The previous prime is 102552933139171. The next prime is 102552933139211. The reversal of 102552933139200 is 2931339255201.

102552933139200 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 529 + 3 + 31 + 3 + 92 + 0 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 18327627 + ... + 23259573.

Almost surely, 2^{102552933139200} is an apocalyptic number.

102552933139200 is a gapful number since it is divisible by the number (10) 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 102552933139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193481486445702).

102552933139200 is an abundant number, since it is smaller than the sum of its proper divisors (284410039752204).

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

102552933139200 is a wasteful number, since it uses less digits than its factorization.

102552933139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932017 (or 4931976 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 102552933139200 in words is "one hundred two trillion, five hundred fifty-two billion, nine hundred thirty-three million, one hundred thirty-nine thousand, two hundred".