99577924128 has 108 divisors (see below), whose sum is σ = 294051737070. Its totient is φ = 33192571392.

The previous prime is 99577924097. The next prime is 99577924177. The reversal of 99577924128 is 82142977599.

It can be written as a sum of positive squares in only one way, i.e., 99383823504 + 194100624 = 315252^2 + 13932^2 .

It is a tau number, because it is divible by the number of its divisors (108).

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 17 ways as a sum of consecutive naturals, for example, 27193 + ... + 447096.

Almost surely, 2^99577924128 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 99577924128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147025868535).

99577924128 is an abundant number, since it is smaller than the sum of its proper divisors (194473812942).

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

99577924128 is an frugal number, since it uses more digits than its factorization.

99577924128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474323 (or 474294 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 99577924128 in words is "ninety-nine billion, five hundred seventy-seven million, nine hundred twenty-four thousand, one hundred twenty-eight".