120792656160 has 864 divisors, whose sum is σ = 481729405248. Its totient is φ = 28336988160.

The previous prime is 120792656147. The next prime is 120792656183. The reversal of 120792656160 is 61656297021.

120792656160 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 9 + 26 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1654693884 + ... + 1654693956.

It is an arithmetic number, because the mean of its divisors is an integer number (557557182).

Almost surely, 2^120792656160 is an apocalyptic number.

120792656160 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 120792656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240864702624).

120792656160 is an abundant number, since it is smaller than the sum of its proper divisors (360936749088).

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

120792656160 is an equidigital number, since it uses as much as digits as its factorization.

120792656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 120792656160 in words is "one hundred twenty billion, seven hundred ninety-two million, six hundred fifty-six thousand, one hundred sixty".