56658790272 has 1024 divisors, whose sum is σ = 205754204160. Its totient is φ = 13430292480.

The previous prime is 56658790193. The next prime is 56658790273. The reversal of 56658790272 is 27209785665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56658790273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1205506153 + ... + 1205506199.

It is an arithmetic number, because the mean of its divisors is an integer number (200931840).

Almost surely, 2^56658790272 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 56658790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102877102080).

56658790272 is an abundant number, since it is smaller than the sum of its proper divisors (149095413888).

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

56658790272 is a wasteful number, since it uses less digits than its factorization.

56658790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 56658790272 in words is "fifty-six billion, six hundred fifty-eight million, seven hundred ninety thousand, two hundred seventy-two".