56947384165392 has 960 divisors, whose sum is σ = 204768318988800. Its totient is φ = 14791967539200.

The previous prime is 56947384165351. The next prime is 56947384165403. The reversal of 56947384165392 is 29356148374965.

56947384165392 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 7 + 3 + 84 + 1 + 6 + 539 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56947384165392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50440552284 + ... + 50440553412.

It is an arithmetic number, because the mean of its divisors is an integer number (213300332280).

Almost surely, 2^{56947384165392} 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 56947384165392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102384159494400).

56947384165392 is an abundant number, since it is smaller than the sum of its proper divisors (147820934823408).

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

56947384165392 is a wasteful number, since it uses less digits than its factorization.

56947384165392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2210 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 56947384165392 in words is "fifty-six trillion, nine hundred forty-seven billion, three hundred eighty-four million, one hundred sixty-five thousand, three hundred ninety-two".