56336324161824 has 384 divisors, whose sum is σ = 188426409615360. Its totient is φ = 16041434572800.

The previous prime is 56336324161823. The next prime is 56336324161837. The reversal of 56336324161824 is 42816142363365.

56336324161824 is a `hidden beast` number, since 5 + 6 + 3 + 363 + 241 + 6 + 18 + 24 = 666.

It is a super-2 number, since 2×56336324161824² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56336324161823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2440797964 + ... + 2440821044.

It is an arithmetic number, because the mean of its divisors is an integer number (490693775040).

Almost surely, 2^{56336324161824} is an apocalyptic number.

56336324161824 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 56336324161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94213204807680).

56336324161824 is an abundant number, since it is smaller than the sum of its proper divisors (132090085453536).

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

56336324161824 is a wasteful number, since it uses less digits than its factorization.

56336324161824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24461 (or 24447 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 56336324161824 in words is "fifty-six trillion, three hundred thirty-six billion, three hundred twenty-four million, one hundred sixty-one thousand, eight hundred twenty-four".