8999620128000 has 576 divisors, whose sum is σ = 33507887212800. Its totient is φ = 2378634854400.

The previous prime is 8999620127987. The next prime is 8999620128043. The reversal of 8999620128000 is 8210269998.

8999620128000 is a `hidden beast` number, since 8 + 9 + 9 + 9 + 620 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 97585911 + ... + 97678089.

It is an arithmetic number, because the mean of its divisors is an integer number (58173415300).

Almost surely, 2^{8999620128000} is an apocalyptic number.

8999620128000 is a gapful number since it is divisible by the number (80) 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 8999620128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753943606400).

8999620128000 is an abundant number, since it is smaller than the sum of its proper divisors (24508267084800).

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

8999620128000 is a wasteful number, since it uses less digits than its factorization.

8999620128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92332 (or 92302 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 8999620128000 in words is "eight trillion, nine hundred ninety-nine billion, six hundred twenty million, one hundred twenty-eight thousand".