99584640000 has 1100 divisors, whose sum is σ = 396946158444. Its totient is φ = 24772608000.

The previous prime is 99584639933. The next prime is 99584640047. The reversal of 99584640000 is 4648599.

It is a happy number.

99584640000 is a `hidden beast` number, since 9 + 9 + 584 + 64 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 89539789824 + 10044850176 = 299232^2 + 100224^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 881279944 + ... + 881280056.

Almost surely, 2^99584640000 is an apocalyptic number.

99584640000 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 99584640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198473079222).

99584640000 is an abundant number, since it is smaller than the sum of its proper divisors (297361518444).

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

99584640000 is a wasteful number, since it uses less digits than its factorization.

99584640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 99584640000 in words is "ninety-nine billion, five hundred eighty-four million, six hundred forty thousand".