99261904896 has 960 divisors, whose sum is σ = 390053664000. Its totient is φ = 24365629440.

The previous prime is 99261904891. The next prime is 99261904909. The reversal of 99261904896 is 69840916299.

99261904896 is a `hidden beast` number, since 9 + 9 + 2 + 61 + 90 + 489 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99261904891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 242693940 + ... + 242694348.

It is an arithmetic number, because the mean of its divisors is an integer number (406305900).

Almost surely, 2^99261904896 is an apocalyptic number.

99261904896 is a gapful number since it is divisible by the number (96) 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 99261904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195026832000).

99261904896 is an abundant number, since it is smaller than the sum of its proper divisors (290791759104).

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

99261904896 is a wasteful number, since it uses less digits than its factorization.

99261904896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 99261904896 in words is "ninety-nine billion, two hundred sixty-one million, nine hundred four thousand, eight hundred ninety-six".