56665514304 has 224 divisors, whose sum is σ = 191888424960. Its totient is φ = 16062230016.

The previous prime is 56665514303. The next prime is 56665514309. The reversal of 56665514304 is 40341556665.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×56665514304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56665514304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56665514303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517749 + ... + 1554635.

Almost surely, 2^56665514304 is an apocalyptic number.

56665514304 is a gapful number since it is divisible by the number (54) 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 56665514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95944212480).

56665514304 is an abundant number, since it is smaller than the sum of its proper divisors (135222910656).

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

56665514304 is a wasteful number, since it uses less digits than its factorization.

56665514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37042 (or 37026 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56665514304 in words is "fifty-six billion, six hundred sixty-five million, five hundred fourteen thousand, three hundred four".