99884054880 has 960 divisors, whose sum is σ = 398337730560. Its totient is φ = 23422058496.

The previous prime is 99884054873. The next prime is 99884054927. The reversal of 99884054880 is 8845048899.

99884054880 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 4 + 0 + 548 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 447910449 + ... + 447910671.

It is an arithmetic number, because the mean of its divisors is an integer number (414935136).

Almost surely, 2^99884054880 is an apocalyptic number.

99884054880 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 99884054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199168865280).

99884054880 is an abundant number, since it is smaller than the sum of its proper divisors (298453675680).

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

99884054880 is a wasteful number, since it uses less digits than its factorization.

99884054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 99884054880 in words is "ninety-nine billion, eight hundred eighty-four million, fifty-four thousand, eight hundred eighty".