99884575440 has 640 divisors, whose sum is σ = 384028753920. Its totient is φ = 23702740992.

The previous prime is 99884575433. The next prime is 99884575481. The reversal of 99884575440 is 4457548899.

99884575440 is a `hidden beast` number, since 9 + 9 + 8 + 84 + 5 + 7 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131947542 + ... + 131948298.

It is an arithmetic number, because the mean of its divisors is an integer number (600044928).

Almost surely, 2^99884575440 is an apocalyptic number.

99884575440 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 99884575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192014376960).

99884575440 is an abundant number, since it is smaller than the sum of its proper divisors (284144178480).

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

99884575440 is a wasteful number, since it uses less digits than its factorization.

99884575440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 99884575440 in words is "ninety-nine billion, eight hundred eighty-four million, five hundred seventy-five thousand, four hundred forty".