99289884672 has 384 divisors, whose sum is σ = 322672896000. Its totient is φ = 29918085120.

The previous prime is 99289884641. The next prime is 99289884677. The reversal of 99289884672 is 27648898299.

99289884672 is a `hidden beast` number, since 9 + 9 + 2 + 89 + 88 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 99289884672.

It is not an unprimeable number, because it can be changed into a prime (99289884677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145372843 + ... + 145373525.

It is an arithmetic number, because the mean of its divisors is an integer number (840294000).

Almost surely, 2^99289884672 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 99289884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448000).

99289884672 is an abundant number, since it is smaller than the sum of its proper divisors (223383011328).

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

99289884672 is a wasteful number, since it uses less digits than its factorization.

99289884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 938 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 99289884672 in words is "ninety-nine billion, two hundred eighty-nine million, eight hundred eighty-four thousand, six hundred seventy-two".