999165585600 has 3150 divisors, whose sum is σ = 4883655035820. Its totient is φ = 199717539840.

The previous prime is 999165585533. The next prime is 999165585643. The reversal of 999165585600 is 6585561999.

999165585600 is a `hidden beast` number, since 9 + 9 + 9 + 1 + 65 + 5 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3150).

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 (17) of ones.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 52587662391 + ... + 52587662409.

Almost surely, 2^999165585600 is an apocalyptic number.

999165585600 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 999165585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441827517910).

999165585600 is an abundant number, since it is smaller than the sum of its proper divisors (3884489450220).

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

999165585600 is a wasteful number, since it uses less digits than its factorization.

999165585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 999165585600 in words is "nine hundred ninety-nine billion, one hundred sixty-five million, five hundred eighty-five thousand, six hundred".