56824758144 has 1280 divisors, whose sum is σ = 230331340800. Its totient is φ = 13456834560.

The previous prime is 56824758131. The next prime is 56824758149. The reversal of 56824758144 is 44185742865.

56824758144 is a `hidden beast` number, since 56 + 8 + 2 + 4 + 7 + 581 + 4 + 4 = 666.

56824758144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56824758149) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 719300697 + ... + 719300775.

It is an arithmetic number, because the mean of its divisors is an integer number (179946360).

Almost surely, 2^56824758144 is an apocalyptic number.

56824758144 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 56824758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115165670400).

56824758144 is an abundant number, since it is smaller than the sum of its proper divisors (173506582656).

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

56824758144 is a wasteful number, since it uses less digits than its factorization.

56824758144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 56824758144 in words is "fifty-six billion, eight hundred twenty-four million, seven hundred fifty-eight thousand, one hundred forty-four".