102689456256 has 384 divisors, whose sum is σ = 320060332800. Its totient is φ = 31500140544.

The previous prime is 102689456239. The next prime is 102689456263. The reversal of 102689456256 is 652654986201.

102689456256 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 9 + 4 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177971040 + ... + 177971616.

It is an arithmetic number, because the mean of its divisors is an integer number (833490450).

Almost surely, 2^102689456256 is an apocalyptic number.

102689456256 is a gapful number since it is divisible by the number (16) 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 102689456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030166400).

102689456256 is an abundant number, since it is smaller than the sum of its proper divisors (217370876544).

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

102689456256 is a wasteful number, since it uses less digits than its factorization.

102689456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 102689456256 in words is "one hundred two billion, six hundred eighty-nine million, four hundred fifty-six thousand, two hundred fifty-six".