99928291680 has 1536 divisors, whose sum is σ = 440085381120. Its totient is φ = 20692869120.

The previous prime is 99928291679. The next prime is 99928291691. The reversal of 99928291680 is 8619282999.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1491467007 + ... + 1491467073.

It is an arithmetic number, because the mean of its divisors is an integer number (286513920).

Almost surely, 2^99928291680 is an apocalyptic number.

99928291680 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 99928291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220042690560).

99928291680 is an abundant number, since it is smaller than the sum of its proper divisors (340157089440).

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

99928291680 is a wasteful number, since it uses less digits than its factorization.

99928291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 99928291680 in words is "ninety-nine billion, nine hundred twenty-eight million, two hundred ninety-one thousand, six hundred eighty".