99928685445120 has 2304 divisors, whose sum is σ = 425343372854400. Its totient is φ = 21254048317440.

The previous prime is 99928685445107. The next prime is 99928685445133. The reversal of 99928685445120 is 2154458682999.

99928685445120 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 8 + 6 + 8 + 544 + 51 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (99928685445107) and next prime (99928685445133).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 414641848200 + ... + 414641848440.

Almost surely, 2^{99928685445120} is an apocalyptic number.

99928685445120 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 99928685445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212671686427200).

99928685445120 is an abundant number, since it is smaller than the sum of its proper divisors (325414687409280).

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

99928685445120 is a wasteful number, since it uses less digits than its factorization.

99928685445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 99928685445120 in words is "ninety-nine trillion, nine hundred twenty-eight billion, six hundred eighty-five million, four hundred forty-five thousand, one hundred twenty".