793910978112000 has 1280 divisors, whose sum is σ = 3130111824592896. Its totient is φ = 174699970560000.

The previous prime is 793910978111957. The next prime is 793910978112073. The reversal of 793910978112000 is 211879019397.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8041102635 + ... + 8041201365.

Almost surely, 2^{793910978112000} is an apocalyptic number.

793910978112000 is a gapful number since it is divisible by the number (70) 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 793910978112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565055912296448).

793910978112000 is an abundant number, since it is smaller than the sum of its proper divisors (2336200846480896).

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

793910978112000 is a wasteful number, since it uses less digits than its factorization.

793910978112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98998 (or 98972 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 57.

The spelling of 793910978112000 in words is "seven hundred ninety-three trillion, nine hundred ten billion, nine hundred seventy-eight million, one hundred twelve thousand".