795427117056 has 576 divisors, whose sum is σ = 2710518370560. Its totient is φ = 221546741760.

The previous prime is 795427117019. The next prime is 795427117057. The reversal of 795427117056 is 650711724597.

795427117056 is a `hidden beast` number, since 7 + 95 + 427 + 11 + 70 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×795427117056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 795427116993 and 795427117011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795427117057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809182741 + ... + 809183723.

It is an arithmetic number, because the mean of its divisors is an integer number (4705761060).

Almost surely, 2^795427117056 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 795427117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355259185280).

795427117056 is an abundant number, since it is smaller than the sum of its proper divisors (1915091253504).

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

795427117056 is a wasteful number, since it uses less digits than its factorization.

795427117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 795427117056 in words is "seven hundred ninety-five billion, four hundred twenty-seven million, one hundred seventeen thousand, fifty-six".