56684728800 has 720 divisors, whose sum is σ = 239382647280. Its totient is φ = 12944655360.

The previous prime is 56684728741. The next prime is 56684728817. The reversal of 56684728800 is 882748665.

56684728800 is a `hidden beast` number, since 566 + 8 + 4 + 72 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51861054 + ... + 51862146.

It is an arithmetic number, because the mean of its divisors is an integer number (332475899).

Almost surely, 2^56684728800 is an apocalyptic number.

56684728800 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 56684728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119691323640).

56684728800 is an abundant number, since it is smaller than the sum of its proper divisors (182697918480).

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

56684728800 is a wasteful number, since it uses less digits than its factorization.

56684728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 56684728800 in words is "fifty-six billion, six hundred eighty-four million, seven hundred twenty-eight thousand, eight hundred".