99933859872 has 864 divisors, whose sum is σ = 379140652800. Its totient is φ = 24656486400.

The previous prime is 99933859853. The next prime is 99933859889. The reversal of 99933859872 is 27895833999.

99933859872 is a `hidden beast` number, since 9 + 9 + 93 + 385 + 98 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99933859872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355636372 + ... + 355636652.

It is an arithmetic number, because the mean of its divisors is an integer number (438820200).

Almost surely, 2^99933859872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99933859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189570326400).

99933859872 is an abundant number, since it is smaller than the sum of its proper divisors (279206792928).

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

99933859872 is a wasteful number, since it uses less digits than its factorization.

99933859872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

It can be divided in two parts, 99933 and 859872, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 99933859872 in words is "ninety-nine billion, nine hundred thirty-three million, eight hundred fifty-nine thousand, eight hundred seventy-two".