56360023680 has 256 divisors, whose sum is σ = 189397647360. Its totient is φ = 14234357760.

The previous prime is 56360023667. The next prime is 56360023693. The reversal of 56360023680 is 8632006365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56360023667) and next prime (56360023693).

It is a super-3 number, since 3×56360023680³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2787367 + ... + 2807513.

It is an arithmetic number, because the mean of its divisors is an integer number (739834560).

Almost surely, 2^56360023680 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 56360023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94698823680).

56360023680 is an abundant number, since it is smaller than the sum of its proper divisors (133037623680).

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

56360023680 is a wasteful number, since it uses less digits than its factorization.

56360023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20247 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 56360023680 in words is "fifty-six billion, three hundred sixty million, twenty-three thousand, six hundred eighty".