56605930358400 has 960 divisors, whose sum is σ = 211527996977880. Its totient is φ = 14905182781440.

The previous prime is 56605930358387. The next prime is 56605930358413. The reversal of 56605930358400 is 485303950665.

It is a happy number.

56605930358400 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 59 + 3 + 0 + 3 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56605930358387) and next prime (56605930358413).

It can be written as a sum of positive squares in 12 ways, for example, as 9246318682176 + 47359611676224 = 3040776^2 + 6881832^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 8113215712 + ... + 8113222688.

Almost surely, 2^{56605930358400} is an apocalyptic number.

56605930358400 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 56605930358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105763998488940).

56605930358400 is an abundant number, since it is smaller than the sum of its proper divisors (154922066619480).

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

56605930358400 is a wasteful number, since it uses less digits than its factorization.

56605930358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 56605930358400 in words is "fifty-six trillion, six hundred five billion, nine hundred thirty million, three hundred fifty-eight thousand, four hundred".