795457090560 has 352 divisors, whose sum is σ = 2783583833472. Its totient is φ = 192277381120.

The previous prime is 795457090543. The next prime is 795457090567. The reversal of 795457090560 is 65090754597.

795457090560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×795457090560² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 795457090560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795457090567) 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, 59636212 + ... + 59649548.

Almost surely, 2^795457090560 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 795457090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391791916736).

795457090560 is an abundant number, since it is smaller than the sum of its proper divisors (1988126742912).

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

795457090560 is a wasteful number, since it uses less digits than its factorization.

795457090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13729 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 57.

The spelling of 795457090560 in words is "seven hundred ninety-five billion, four hundred fifty-seven million, ninety thousand, five hundred sixty".