56507606618400 has 576 divisors, whose sum is σ = 238331433312000. Its totient is φ = 12916022676480.

The previous prime is 56507606618377. The next prime is 56507606618417. The reversal of 56507606618400 is 481660670565.

56507606618400 is a `hidden beast` number, since 5 + 6 + 507 + 60 + 66 + 18 + 4 + 0 + 0 = 666.

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

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, 3595254 + ... + 11222346.

It is an arithmetic number, because the mean of its divisors is an integer number (413769849500).

Almost surely, 2^{56507606618400} is an apocalyptic number.

56507606618400 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 56507606618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119165716656000).

56507606618400 is an abundant number, since it is smaller than the sum of its proper divisors (181823826693600).

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

56507606618400 is a wasteful number, since it uses less digits than its factorization.

56507606618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627143 (or 7627110 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56507606618400 in words is "fifty-six trillion, five hundred seven billion, six hundred six million, six hundred eighteen thousand, four hundred".