81888516413100 has 576 divisors, whose sum is σ = 277652029132800. Its totient is φ = 20682200448000.

The previous prime is 81888516413059. The next prime is 81888516413111. The reversal of 81888516413100 is 131461588818.

81888516413100 is a `hidden beast` number, since 8 + 1 + 8 + 8 + 8 + 516 + 4 + 13 + 100 = 666.

It is a super-2 number, since 2×81888516413100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 560266030 + ... + 560412170.

It is an arithmetic number, because the mean of its divisors is an integer number (482034772800).

Almost surely, 2^{81888516413100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81888516413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138826014566400).

81888516413100 is an abundant number, since it is smaller than the sum of its proper divisors (195763512719700).

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

81888516413100 is a wasteful number, since it uses less digits than its factorization.

81888516413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146351 (or 146338 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 81888516413100 in words is "eighty-one trillion, eight hundred eighty-eight billion, five hundred sixteen million, four hundred thirteen thousand, one hundred".