102578595799680 has 7680 divisors, whose sum is σ = 542572345244160. Its totient is φ = 17920681574400.

The previous prime is 102578595799657. The next prime is 102578595799843. The reversal of 102578595799680 is 86997595875201.

102578595799680 is a `hidden beast` number, since 10 + 2 + 5 + 7 + 8 + 595 + 7 + 9 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 102578595799680.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3308986961265 + ... + 3308986961295.

It is an arithmetic number, because the mean of its divisors is an integer number (70647440787).

Almost surely, 2^{102578595799680} is an apocalyptic number.

102578595799680 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 102578595799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271286172622080).

102578595799680 is an abundant number, since it is smaller than the sum of its proper divisors (439993749444480).

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

102578595799680 is a wasteful number, since it uses less digits than its factorization.

102578595799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3429216000, while the sum is 81.

The spelling of 102578595799680 in words is "one hundred two trillion, five hundred seventy-eight billion, five hundred ninety-five million, seven hundred ninety-nine thousand, six hundred eighty".