81188083200 has 960 divisors, whose sum is σ = 329531051520. Its totient is φ = 17199267840.

The previous prime is 81188083187. The next prime is 81188083201. The reversal of 81188083200 is 238088118.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81188083201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498086319 + ... + 498086481.

It is an arithmetic number, because the mean of its divisors is an integer number (343261512).

Almost surely, 2^81188083200 is an apocalyptic number.

81188083200 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 81188083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164765525760).

81188083200 is an abundant number, since it is smaller than the sum of its proper divisors (248342968320).

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

81188083200 is a wasteful number, since it uses less digits than its factorization.

81188083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 81188083200 in words is "eighty-one billion, one hundred eighty-eight million, eighty-three thousand, two hundred".