99009000090600 has 768 divisors, whose sum is σ = 329680613376000. Its totient is φ = 24525152870400.

The previous prime is 99009000090599. The next prime is 99009000090619. The reversal of 99009000090600 is 609000090099.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87696190836 + ... + 87696191964.

It is an arithmetic number, because the mean of its divisors is an integer number (429271632000).

Almost surely, 2^{99009000090600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99009000090600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164840306688000).

99009000090600 is an abundant number, since it is smaller than the sum of its proper divisors (230671613285400).

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

99009000090600 is a wasteful number, since it uses less digits than its factorization.

99009000090600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The spelling of 99009000090600 in words is "ninety-nine trillion, nine billion, ninety thousand, six hundred".