56322315126504 has 480 divisors, whose sum is σ = 189524916504000. Its totient is φ = 15306325968384.

The previous prime is 56322315126421. The next prime is 56322315126523. The reversal of 56322315126504 is 40562151322365.

56322315126504 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 2 + 3 + 15 + 126 + 504 = 666.

56322315126504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56322315126504³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56322315126504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 429452812 + ... + 429583940.

It is an arithmetic number, because the mean of its divisors is an integer number (394843576050).

Almost surely, 2^{56322315126504} is an apocalyptic number.

56322315126504 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 56322315126504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94762458252000).

56322315126504 is an abundant number, since it is smaller than the sum of its proper divisors (133202601377496).

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

56322315126504 is a wasteful number, since it uses less digits than its factorization.

56322315126504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131379 (or 131343 counting only the distinct ones).

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

Adding to 56322315126504 its reverse (40562151322365), we get a palindrome (96884466448869).

The spelling of 56322315126504 in words is "fifty-six trillion, three hundred twenty-two billion, three hundred fifteen million, one hundred twenty-six thousand, five hundred four".