99132284160 has 2160 divisors, whose sum is σ = 473674924800. Its totient is φ = 19564167168.

The previous prime is 99132284123. The next prime is 99132284197. The reversal of 99132284160 is 6148223199.

99132284160 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 228 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99132284123) and next prime (99132284197).

It is a tau number, because it is divible by the number of its divisors (2160).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1254839001 + ... + 1254839079.

Almost surely, 2^99132284160 is an apocalyptic number.

99132284160 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 99132284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236837462400).

99132284160 is an abundant number, since it is smaller than the sum of its proper divisors (374542640640).

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

99132284160 is a wasteful number, since it uses less digits than its factorization.

99132284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 99132284160 in words is "ninety-nine billion, one hundred thirty-two million, two hundred eighty-four thousand, one hundred sixty".