81074928000 has 512 divisors, whose sum is σ = 296406190080. Its totient is φ = 19439616000.

The previous prime is 81074927993. The next prime is 81074928013. The reversal of 81074928000 is 82947018.

It is a self number, because there is not a number n which added to its sum of digits gives 81074928000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51215209 + ... + 51216791.

It is an arithmetic number, because the mean of its divisors is an integer number (578918340).

Almost surely, 2^81074928000 is an apocalyptic number.

81074928000 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 81074928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148203095040).

81074928000 is an abundant number, since it is smaller than the sum of its proper divisors (215331262080).

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

81074928000 is a wasteful number, since it uses less digits than its factorization.

81074928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 81074928000 in words is "eighty-one billion, seventy-four million, nine hundred twenty-eight thousand".