99681576960 has 192 divisors, whose sum is σ = 364461552000. Its totient is φ = 22784311296.

The previous prime is 99681576959. The next prime is 99681577001. The reversal of 99681576960 is 6967518699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 99681576891 and 99681576900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16735 + ... + 446814.

It is an arithmetic number, because the mean of its divisors is an integer number (1898237250).

Almost surely, 2^99681576960 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 99681576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182230776000).

99681576960 is an abundant number, since it is smaller than the sum of its proper divisors (264779975040).

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

99681576960 is a wasteful number, since it uses less digits than its factorization.

99681576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463586 (or 463566 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 99681576960 in words is "ninety-nine billion, six hundred eighty-one million, five hundred seventy-six thousand, nine hundred sixty".