99527915881440 has 960 divisors, whose sum is σ = 371936000620800. Its totient is φ = 25023443042304.

The previous prime is 99527915881423. The next prime is 99527915881481. The reversal of 99527915881440 is 4418851972599.

99527915881440 is a `hidden beast` number, since 9 + 9 + 5 + 27 + 9 + 1 + 588 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8072661196 + ... + 8072673524.

It is an arithmetic number, because the mean of its divisors is an integer number (387433333980).

Almost surely, 2^{99527915881440} is an apocalyptic number.

99527915881440 is a gapful number since it is divisible by the number (90) 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 99527915881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185968000310400).

99527915881440 is an abundant number, since it is smaller than the sum of its proper divisors (272408084739360).

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

99527915881440 is a wasteful number, since it uses less digits than its factorization.

99527915881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12889 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 99527915881440 in words is "ninety-nine trillion, five hundred twenty-seven billion, nine hundred fifteen million, eight hundred eighty-one thousand, four hundred forty".