56707128767232 has 1152 divisors, whose sum is σ = 182872422593280. Its totient is φ = 17484775686144.

The previous prime is 56707128767197. The next prime is 56707128767273. The reversal of 56707128767232 is 23276782170765.

It is a happy number.

56707128767232 is a `hidden beast` number, since 5 + 67 + 0 + 7 + 1 + 287 + 67 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 56707128767232.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204718876278 + ... + 204718876554.

It is an arithmetic number, because the mean of its divisors is an integer number (158743422390).

Almost surely, 2^{56707128767232} 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 56707128767232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91436211296640).

56707128767232 is an abundant number, since it is smaller than the sum of its proper divisors (126165293826048).

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

56707128767232 is a wasteful number, since it uses less digits than its factorization.

56707128767232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 56707128767232 in words is "fifty-six trillion, seven hundred seven billion, one hundred twenty-eight million, seven hundred sixty-seven thousand, two hundred thirty-two".