99529879680 has 2048 divisors, whose sum is σ = 481296384000. Its totient is φ = 18811699200.

The previous prime is 99529879663. The next prime is 99529879697. The reversal of 99529879680 is 8697892599.

It is a happy number.

99529879680 is a `hidden beast` number, since 9 + 9 + 529 + 8 + 7 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99529879663) and next prime (99529879697).

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

It is a junction number, because it is equal to n+sod(n) for n = 99529879599 and 99529879608.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 783699777 + ... + 783699903.

It is an arithmetic number, because the mean of its divisors is an integer number (235008000).

Almost surely, 2^99529879680 is an apocalyptic number.

99529879680 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 99529879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240648192000).

99529879680 is an abundant number, since it is smaller than the sum of its proper divisors (381766504320).

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

99529879680 is a wasteful number, since it uses less digits than its factorization.

99529879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 99529879680 in words is "ninety-nine billion, five hundred twenty-nine million, eight hundred seventy-nine thousand, six hundred eighty".