99839001600 has 1056 divisors, whose sum is σ = 405962350080. Its totient is φ = 23887872000.

The previous prime is 99839001593. The next prime is 99839001601. The reversal of 99839001600 is 610093899.

99839001600 is a `hidden beast` number, since 9 + 9 + 8 + 39 + 0 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (99839001601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 368409465 + ... + 368409735.

Almost surely, 2^99839001600 is an apocalyptic number.

99839001600 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 99839001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202981175040).

99839001600 is an abundant number, since it is smaller than the sum of its proper divisors (306123348480).

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

99839001600 is a wasteful number, since it uses less digits than its factorization.

99839001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 99839001600 in words is "ninety-nine billion, eight hundred thirty-nine million, one thousand, six hundred".