123956904960 has 1056 divisors, whose sum is σ = 522457807872. Its totient is φ = 27590492160.

The previous prime is 123956904959. The next prime is 123956904983. The reversal of 123956904960 is 69409659321.

123956904960 is a `hidden beast` number, since 1 + 2 + 3 + 95 + 69 + 0 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 123956904897 and 123956904906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374491995 + ... + 374492325.

It is an arithmetic number, because the mean of its divisors is an integer number (494751712).

Almost surely, 2^123956904960 is an apocalyptic number.

123956904960 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 123956904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261228903936).

123956904960 is an abundant number, since it is smaller than the sum of its proper divisors (398500902912).

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

123956904960 is an equidigital number, since it uses as much as digits as its factorization.

123956904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 123956904960 in words is "one hundred twenty-three billion, nine hundred fifty-six million, nine hundred four thousand, nine hundred sixty".