99609989760 has 640 divisors, whose sum is σ = 390816835200. Its totient is φ = 24065040384.

The previous prime is 99609989723. The next prime is 99609989789. The reversal of 99609989760 is 6798990699.

99609989760 is a `hidden beast` number, since 9 + 9 + 609 + 9 + 8 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 22651882 + ... + 22656278.

It is an arithmetic number, because the mean of its divisors is an integer number (610651305).

Almost surely, 2^99609989760 is an apocalyptic number.

99609989760 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 99609989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195408417600).

99609989760 is an abundant number, since it is smaller than the sum of its proper divisors (291206845440).

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

99609989760 is a wasteful number, since it uses less digits than its factorization.

99609989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The spelling of 99609989760 in words is "ninety-nine billion, six hundred nine million, nine hundred eighty-nine thousand, seven hundred sixty".