99964569600 has 864 divisors, whose sum is σ = 433457256960. Its totient is φ = 21493186560.

The previous prime is 99964569599. The next prime is 99964569611. The reversal of 99964569600 is 696546999.

99964569600 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 4 + 569 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 54834289 + ... + 54836111.

It is an arithmetic number, because the mean of its divisors is an integer number (501686640).

Almost surely, 2^99964569600 is an apocalyptic number.

99964569600 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 99964569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216728628480).

99964569600 is an abundant number, since it is smaller than the sum of its proper divisors (333492687360).

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

99964569600 is a wasteful number, since it uses less digits than its factorization.

99964569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 99964569600 in words is "ninety-nine billion, nine hundred sixty-four million, five hundred sixty-nine thousand, six hundred".