102253640785920 has 896 divisors, whose sum is σ = 412118375558400. Its totient is φ = 23845319737344.

The previous prime is 102253640785883. The next prime is 102253640785991. The reversal of 102253640785920 is 29587046352201.

102253640785920 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 3 + 6 + 40 + 7 + 8 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272975074 + ... + 273349406.

It is an arithmetic number, because the mean of its divisors is an integer number (459953544150).

It is a 1-persistent number, because it is pandigital, but 2⋅102253640785920 = 204507281571840 is not.

Almost surely, 2^{102253640785920} is an apocalyptic number.

102253640785920 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 102253640785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206059187779200).

102253640785920 is an abundant number, since it is smaller than the sum of its proper divisors (309864734772480).

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

102253640785920 is a wasteful number, since it uses less digits than its factorization.

102253640785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374405 (or 374375 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 102253640785920 in words is "one hundred two trillion, two hundred fifty-three billion, six hundred forty million, seven hundred eighty-five thousand, nine hundred twenty".