99615216960 has 448 divisors, whose sum is σ = 403404019200. Its totient is φ = 22668263424.

The previous prime is 99615216889. The next prime is 99615217001. The reversal of 99615216960 is 6961251699.

99615216960 is a `hidden beast` number, since 9 + 9 + 615 + 2 + 16 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 99615216897 and 99615216906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14088306 + ... + 14095374.

It is an arithmetic number, because the mean of its divisors is an integer number (900455400).

Almost surely, 2^99615216960 is an apocalyptic number.

99615216960 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 99615216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201702009600).

99615216960 is an abundant number, since it is smaller than the sum of its proper divisors (303788802240).

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

99615216960 is a wasteful number, since it uses less digits than its factorization.

99615216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 99615216960 in words is "ninety-nine billion, six hundred fifteen million, two hundred sixteen thousand, nine hundred sixty".