102374644957200 has 720 divisors, whose sum is σ = 444785660467200. Its totient is φ = 21183632870400.

The previous prime is 102374644957199. The next prime is 102374644957213. The reversal of 102374644957200 is 2759446473201.

102374644957200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 7 + 4 + 64 + 4 + 9 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×102374644957200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65478171 + ... + 67023429.

It is an arithmetic number, because the mean of its divisors is an integer number (617757861760).

Almost surely, 2^{102374644957200} is an apocalyptic number.

102374644957200 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 102374644957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222392830233600).

102374644957200 is an abundant number, since it is smaller than the sum of its proper divisors (342411015510000).

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

102374644957200 is a wasteful number, since it uses less digits than its factorization.

102374644957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545540 (or 1545526 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 102374644957200 in words is "one hundred two trillion, three hundred seventy-four billion, six hundred forty-four million, nine hundred fifty-seven thousand, two hundred".