99824627232 has 384 divisors, whose sum is σ = 350942699520. Its totient is φ = 27231621120.

The previous prime is 99824627219. The next prime is 99824627257. The reversal of 99824627232 is 23272642899.

99824627232 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 4 + 627 + 2 + 3 + 2 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 3702633 + ... + 3729495.

It is an arithmetic number, because the mean of its divisors is an integer number (913913280).

Almost surely, 2^99824627232 is an apocalyptic number.

99824627232 is a gapful number since it is divisible by the number (92) 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 99824627232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175471349760).

99824627232 is an abundant number, since it is smaller than the sum of its proper divisors (251118072288).

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

99824627232 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (99824627231) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (26919).

99824627232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26933 (or 26919 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 99824627232 in words is "ninety-nine billion, eight hundred twenty-four million, six hundred twenty-seven thousand, two hundred thirty-two".