56980341264 has 160 divisors (see below), whose sum is σ = 186632340480. Its totient is φ = 14549184000.

The previous prime is 56980341259. The next prime is 56980341283. The reversal of 56980341264 is 46214308965.

It is a super-2 number, since 2×56980341264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87414 + ... + 348714.

It is an arithmetic number, because the mean of its divisors is an integer number (1166452128).

Almost surely, 2^56980341264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56980341264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93316170240).

56980341264 is an abundant number, since it is smaller than the sum of its proper divisors (129651999216).

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

56980341264 is a wasteful number, since it uses less digits than its factorization.

56980341264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261389 (or 261383 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 56980341264 in words is "fifty-six billion, nine hundred eighty million, three hundred forty-one thousand, two hundred sixty-four".