81793916784000 has 192 divisors, whose sum is σ = 293742404167680. Its totient is φ = 21811711104000.

The previous prime is 81793916783981. The next prime is 81793916784007. The reversal of 81793916784000 is 48761939718.

81793916784000 is a `hidden beast` number, since 8 + 1 + 79 + 3 + 91 + 6 + 78 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81793916784007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283862656 + ... + 284150655.

It is an arithmetic number, because the mean of its divisors is an integer number (1529908355040).

Almost surely, 2^{81793916784000} is an apocalyptic number.

81793916784000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81793916784000 is an abundant number, since it is smaller than the sum of its proper divisors (211948487383680).

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

81793916784000 is a wasteful number, since it uses less digits than its factorization.

81793916784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568013346 (or 568013321 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 81793916784000 in words is "eighty-one trillion, seven hundred ninety-three billion, nine hundred sixteen million, seven hundred eighty-four thousand".