102879911681424 has 1280 divisors, whose sum is σ = 332539516108800. Its totient is φ = 30313279586304.

The previous prime is 102879911681401. The next prime is 102879911681483. The reversal of 102879911681424 is 424186119978201.

102879911681424 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 99 + 116 + 8 + 1 + 424 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 335113718679 + ... + 335113718985.

It is an arithmetic number, because the mean of its divisors is an integer number (259796496960).

Almost surely, 2^{102879911681424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102879911681424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166269758054400).

102879911681424 is an abundant number, since it is smaller than the sum of its proper divisors (229659604427376).

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

102879911681424 is a wasteful number, since it uses less digits than its factorization.

102879911681424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 102879911681424 in words is "one hundred two trillion, eight hundred seventy-nine billion, nine hundred eleven million, six hundred eighty-one thousand, four hundred twenty-four".