56090446720 has 512 divisors, whose sum is σ = 173971722240. Its totient is φ = 16787865600.

The previous prime is 56090446693. The next prime is 56090446721. The reversal of 56090446720 is 2764409065.

It is a happy number.

It is a super-2 number, since 2×56090446720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56090446721) 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 63 ways as a sum of consecutive naturals, for example, 141285562 + ... + 141285958.

It is an arithmetic number, because the mean of its divisors is an integer number (339788520).

Almost surely, 2^56090446720 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 56090446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86985861120).

56090446720 is an abundant number, since it is smaller than the sum of its proper divisors (117881275520).

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

56090446720 is a wasteful number, since it uses less digits than its factorization.

56090446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 56090446720 in words is "fifty-six billion, ninety million, four hundred forty-six thousand, seven hundred twenty".