56947604001600 has 672 divisors, whose sum is σ = 204404275789056. Its totient is φ = 13795865395200.

The previous prime is 56947604001599. The next prime is 56947604001611. The reversal of 56947604001600 is 610040674965.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56947604001600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2556329662 + ... + 2556351938.

It is an arithmetic number, because the mean of its divisors is an integer number (304173029448).

Almost surely, 2^{56947604001600} is an apocalyptic number.

56947604001600 is a gapful number since it is divisible by the number (50) 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 56947604001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102202137894528).

56947604001600 is an abundant number, since it is smaller than the sum of its proper divisors (147456671787456).

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

56947604001600 is a wasteful number, since it uses less digits than its factorization.

56947604001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22963 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 56947604001600 in words is "fifty-six trillion, nine hundred forty-seven billion, six hundred four million, one thousand, six hundred".