99810648000 has 1008 divisors, whose sum is σ = 437484621600. Its totient is φ = 21598617600.

The previous prime is 99810647977. The next prime is 99810648011. The reversal of 99810648000 is 84601899.

99810648000 is a `hidden beast` number, since 99 + 81 + 0 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67031256 + ... + 67032744.

Almost surely, 2^99810648000 is an apocalyptic number.

99810648000 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 99810648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218742310800).

99810648000 is an abundant number, since it is smaller than the sum of its proper divisors (337673973600).

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

99810648000 is a wasteful number, since it uses less digits than its factorization.

99810648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 99810648000 in words is "ninety-nine billion, eight hundred ten million, six hundred forty-eight thousand".