56429893372608 has 1008 divisors, whose sum is σ = 207580467744000. Its totient is φ = 14545630826496.

The previous prime is 56429893372607. The next prime is 56429893372637. The reversal of 56429893372608 is 80627339892465.

It is a happy number.

56429893372608 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 9 + 8 + 9 + 3 + 3 + 7 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56429893372607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2824450363 + ... + 2824470341.

Almost surely, 2^{56429893372608} 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 56429893372608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790233872000).

56429893372608 is an abundant number, since it is smaller than the sum of its proper divisors (151150574371392).

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

56429893372608 is a wasteful number, since it uses less digits than its factorization.

56429893372608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20282 (or 20262 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 56429893372608 in words is "fifty-six trillion, four hundred twenty-nine billion, eight hundred ninety-three million, three hundred seventy-two thousand, six hundred eight".