99283665600 has 672 divisors, whose sum is σ = 415172712960. Its totient is φ = 22608875520.

The previous prime is 99283665589. The next prime is 99283665601. The reversal of 99283665600 is 656638299.

99283665600 is a `hidden beast` number, since 9 + 9 + 28 + 3 + 6 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (99283665601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120052387 + ... + 120053213.

Almost surely, 2^99283665600 is an apocalyptic number.

99283665600 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 99283665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207586356480).

99283665600 is an abundant number, since it is smaller than the sum of its proper divisors (315889047360).

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

99283665600 is a wasteful number, since it uses less digits than its factorization.

99283665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 99283665600 in words is "ninety-nine billion, two hundred eighty-three million, six hundred sixty-five thousand, six hundred".