795959011584000 has 5376 divisors, whose sum is σ = 3397621960212480. Its totient is φ = 184354652160000.

The previous prime is 795959011583987. The next prime is 795959011584031. The reversal of 795959011584000 is 485110959597.

795959011584000 is a `hidden beast` number, since 7 + 9 + 5 + 95 + 90 + 1 + 1 + 58 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6267393791937 + ... + 6267393792063.

It is an arithmetic number, because the mean of its divisors is an integer number (631998132480).

Almost surely, 2^{795959011584000} 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 795959011584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698810980106240).

795959011584000 is an abundant number, since it is smaller than the sum of its proper divisors (2601662948628480).

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

795959011584000 is a wasteful number, since it uses less digits than its factorization.

795959011584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 63.

The spelling of 795959011584000 in words is "seven hundred ninety-five trillion, nine hundred fifty-nine billion, eleven million, five hundred eighty-four thousand".