795261542400 has 2016 divisors, whose sum is σ = 3390478888320. Its totient is φ = 182184837120.

The previous prime is 795261542329. The next prime is 795261542417. The reversal of 795261542400 is 4245162597.

795261542400 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 61 + 542 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21493555182 + ... + 21493555218.

Almost surely, 2^795261542400 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 795261542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695239444160).

795261542400 is an abundant number, since it is smaller than the sum of its proper divisors (2595217345920).

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

795261542400 is a wasteful number, since it uses less digits than its factorization.

795261542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 795261542400 in words is "seven hundred ninety-five billion, two hundred sixty-one million, five hundred forty-two thousand, four hundred".