56477349504 has 288 divisors, whose sum is σ = 171290770560. Its totient is φ = 17843005440.

The previous prime is 56477349503. The next prime is 56477349521. The reversal of 56477349504 is 40594377465.

56477349504 is a `hidden beast` number, since 5 + 64 + 7 + 73 + 4 + 9 + 504 = 666.

56477349504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (56477349503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100314727 + ... + 100315289.

It is an arithmetic number, because the mean of its divisors is an integer number (594759620).

Almost surely, 2^56477349504 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 56477349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85645385280).

56477349504 is an abundant number, since it is smaller than the sum of its proper divisors (114813421056).

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

56477349504 is a wasteful number, since it uses less digits than its factorization.

56477349504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 56477349504 in words is "fifty-six billion, four hundred seventy-seven million, three hundred forty-nine thousand, five hundred four".