56161591566080 has 3456 divisors, whose sum is σ = 205087438080000. Its totient is φ = 14477855293440.

The previous prime is 56161591566079. The next prime is 56161591566089. The reversal of 56161591566080 is 8066519516165.

It is a happy number.

56161591566080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56161591566080³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56161591566089) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 631029118676 + ... + 631029118764.

It is an arithmetic number, because the mean of its divisors is an integer number (59342430000).

Almost surely, 2^{56161591566080} 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 56161591566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102543719040000).

56161591566080 is an abundant number, since it is smaller than the sum of its proper divisors (148925846513920).

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

56161591566080 is a wasteful number, since it uses less digits than its factorization.

56161591566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 59.

The spelling of 56161591566080 in words is "fifty-six trillion, one hundred sixty-one billion, five hundred ninety-one million, five hundred sixty-six thousand, eighty".