56732949504 has 1056 divisors, whose sum is σ = 220439301120. Its totient is φ = 14422302720.

The previous prime is 56732949503. The next prime is 56732949541. The reversal of 56732949504 is 40594923765.

56732949504 is a `hidden beast` number, since 5 + 6 + 73 + 29 + 49 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (56732949503) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1207084009 + ... + 1207084055.

Almost surely, 2^56732949504 is an apocalyptic number.

56732949504 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 56732949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110219650560).

56732949504 is an abundant number, since it is smaller than the sum of its proper divisors (163706351616).

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

56732949504 is an equidigital number, since it uses as much as digits as its factorization.

56732949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 56732949504 in words is "fifty-six billion, seven hundred thirty-two million, nine hundred forty-nine thousand, five hundred four".