56532790080 has 1120 divisors, whose sum is σ = 234207832320. Its totient is φ = 12819824640.

The previous prime is 56532790051. The next prime is 56532790103. The reversal of 56532790080 is 8009723565.

It is a happy number.

56532790080 is a `hidden beast` number, since 565 + 3 + 2 + 7 + 9 + 0 + 0 + 80 = 666.

56532790080 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 406710651 + ... + 406710789.

It is an arithmetic number, because the mean of its divisors is an integer number (209114136).

Almost surely, 2^56532790080 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 56532790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117103916160).

56532790080 is an abundant number, since it is smaller than the sum of its proper divisors (177675042240).

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

56532790080 is a wasteful number, since it uses less digits than its factorization.

56532790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56532790080 in words is "fifty-six billion, five hundred thirty-two million, seven hundred ninety thousand, eighty".