81928263200 has 864 divisors, whose sum is σ = 265231024128. Its totient is φ = 24127488000.

The previous prime is 81928263181. The next prime is 81928263227. The reversal of 81928263200 is 236282918.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1153919165 + ... + 1153919235.

It is an arithmetic number, because the mean of its divisors is an integer number (306980352).

Almost surely, 2^81928263200 is an apocalyptic number.

81928263200 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 81928263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132615512064).

81928263200 is an abundant number, since it is smaller than the sum of its proper divisors (183302760928).

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

81928263200 is a wasteful number, since it uses less digits than its factorization.

81928263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 81928263200 in words is "eighty-one billion, nine hundred twenty-eight million, two hundred sixty-three thousand, two hundred".