99380077648128 has 432 divisors, whose sum is σ = 298164539545600. Its totient is φ = 31806522408960.

The previous prime is 99380077648123. The next prime is 99380077648147. The reversal of 99380077648128 is 82184677008399.

99380077648128 is a `hidden beast` number, since 99 + 38 + 0 + 0 + 7 + 7 + 6 + 481 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99380077648123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21422734833 + ... + 21422739471.

Almost surely, 2^{99380077648128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99380077648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149082269772800).

99380077648128 is an abundant number, since it is smaller than the sum of its proper divisors (198784461897472).

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

99380077648128 is a wasteful number, since it uses less digits than its factorization.

99380077648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 99380077648128 in words is "ninety-nine trillion, three hundred eighty billion, seventy-seven million, six hundred forty-eight thousand, one hundred twenty-eight".