56374829280 has 1728 divisors, whose sum is σ = 264095354880. Its totient is φ = 11176704000.

The previous prime is 56374829243. The next prime is 56374829309. The reversal of 56374829280 is 8292847365.

56374829280 is a `hidden beast` number, since 56 + 37 + 482 + 9 + 2 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 794011645 + ... + 794011715.

It is an arithmetic number, because the mean of its divisors is an integer number (152832960).

Almost surely, 2^56374829280 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 56374829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132047677440).

56374829280 is an abundant number, since it is smaller than the sum of its proper divisors (207720525600).

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

56374829280 is a wasteful number, since it uses less digits than its factorization.

56374829280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56374829280 in words is "fifty-six billion, three hundred seventy-four million, eight hundred twenty-nine thousand, two hundred eighty".