81793152000 has 1760 divisors, whose sum is σ = 370936051200. Its totient is φ = 17882726400.

The previous prime is 81793151983. The next prime is 81793152013. The reversal of 81793152000 is 25139718.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 3556223989 + ... + 3556224011.

It is an arithmetic number, because the mean of its divisors is an integer number (210759120).

Almost surely, 2^81793152000 is an apocalyptic number.

81793152000 is a gapful number since it is divisible by the number (80) 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 81793152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185468025600).

81793152000 is an abundant number, since it is smaller than the sum of its proper divisors (289142899200).

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

81793152000 is an equidigital number, since it uses as much as digits as its factorization.

81793152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 81793152000 in words is "eighty-one billion, seven hundred ninety-three million, one hundred fifty-two thousand".