56514021279264 has 768 divisors, whose sum is σ = 176763190947840. Its totient is φ = 17526592512000.

The previous prime is 56514021279259. The next prime is 56514021279301. The reversal of 56514021279264 is 46297212041565.

56514021279264 is a `hidden beast` number, since 5 + 6 + 51 + 40 + 21 + 279 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56514021279264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82743808267 + ... + 82743808949.

It is an arithmetic number, because the mean of its divisors is an integer number (230160404880).

Almost surely, 2^{56514021279264} is an apocalyptic number.

56514021279264 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 56514021279264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88381595473920).

56514021279264 is an abundant number, since it is smaller than the sum of its proper divisors (120249169668576).

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

56514021279264 is a wasteful number, since it uses less digits than its factorization.

56514021279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

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

The spelling of 56514021279264 in words is "fifty-six trillion, five hundred fourteen billion, twenty-one million, two hundred seventy-nine thousand, two hundred sixty-four".