120828799656 has 80 divisors (see below), whose sum is σ = 353147018400. Its totient is φ = 38525119776.

The previous prime is 120828799631. The next prime is 120828799661. The reversal of 120828799656 is 656997828021.

120828799656 is a `hidden beast` number, since 1 + 208 + 287 + 99 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120828799593 and 120828799602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4038666 + ... + 4068473.

It is an arithmetic number, because the mean of its divisors is an integer number (4414337730).

Almost surely, 2^120828799656 is an apocalyptic number.

It is an amenable number.

120828799656 is an abundant number, since it is smaller than the sum of its proper divisors (232318218744).

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

120828799656 is a wasteful number, since it uses less digits than its factorization.

120828799656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107180 (or 8107167 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 120828799656 in words is "one hundred twenty billion, eight hundred twenty-eight million, seven hundred ninety-nine thousand, six hundred fifty-six".