791059493952 has 2016 divisors, whose sum is σ = 3205220229120. Its totient is φ = 188654469120.

The previous prime is 791059493941. The next prime is 791059493977. The reversal of 791059493952 is 259394950197.

791059493952 is a `hidden beast` number, since 7 + 9 + 1 + 0 + 59 + 493 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 791059493952.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10836431388 + ... + 10836431460.

Almost surely, 2^791059493952 is an apocalyptic number.

791059493952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791059493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602610114560).

791059493952 is an abundant number, since it is smaller than the sum of its proper divisors (2414160735168).

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

791059493952 is a wasteful number, since it uses less digits than its factorization.

791059493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 791059493952 in words is "seven hundred ninety-one billion, fifty-nine million, four hundred ninety-three thousand, nine hundred fifty-two".