81188511360 has 512 divisors, whose sum is σ = 296321587200. Its totient is φ = 18725683200.

The previous prime is 81188511329. The next prime is 81188511403. The reversal of 81188511360 is 6311588118.

It is a super-3 number, since 3×81188511360³ (a number of 34 digits) contains 333 as substring.

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, 43485147 + ... + 43487013.

It is an arithmetic number, because the mean of its divisors is an integer number (578753100).

Almost surely, 2^81188511360 is an apocalyptic number.

81188511360 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 81188511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148160793600).

81188511360 is an abundant number, since it is smaller than the sum of its proper divisors (215133075840).

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

81188511360 is a wasteful number, since it uses less digits than its factorization.

81188511360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 81188511360 in words is "eighty-one billion, one hundred eighty-eight million, five hundred eleven thousand, three hundred sixty".