81932083200 has 840 divisors, whose sum is σ = 331844218200. Its totient is φ = 19818086400.

The previous prime is 81932083187. The next prime is 81932083217. The reversal of 81932083200 is 238023918.

It is a happy number.

81932083200 is a `hidden beast` number, since 8 + 1 + 9 + 320 + 8 + 320 + 0 = 666.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 182476576 + ... + 182477024.

Almost surely, 2^81932083200 is an apocalyptic number.

81932083200 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 81932083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165922109100).

81932083200 is an abundant number, since it is smaller than the sum of its proper divisors (249912135000).

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

81932083200 is a wasteful number, since it uses less digits than its factorization.

81932083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 81932083200 in words is "eighty-one billion, nine hundred thirty-two million, eighty-three thousand, two hundred".