56406455520 has 192 divisors, whose sum is σ = 180479093760. Its totient is φ = 14805504000.

The previous prime is 56406455519. The next prime is 56406455527. The reversal of 56406455520 is 2555460465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56406455527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31318620 + ... + 31320420.

It is an arithmetic number, because the mean of its divisors is an integer number (939995280).

Almost surely, 2^56406455520 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 56406455520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90239546880).

56406455520 is an abundant number, since it is smaller than the sum of its proper divisors (124072638240).

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

56406455520 is a wasteful number, since it uses less digits than its factorization.

56406455520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 56406455520 in words is "fifty-six billion, four hundred six million, four hundred fifty-five thousand, five hundred twenty".