99309551616000 has 2280 divisors, whose sum is σ = 410968949994720. Its totient is φ = 23028301824000.

The previous prime is 99309551615921. The next prime is 99309551616049. The reversal of 99309551616000 is 61615590399.

It is a happy number.

99309551616000 is a `hidden beast` number, since 9 + 9 + 30 + 95 + 516 + 1 + 6 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×99309551616000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4317806591989 + ... + 4317806592011.

Almost surely, 2^{99309551616000} is an apocalyptic number.

99309551616000 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 99309551616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205484474997360).

99309551616000 is an abundant number, since it is smaller than the sum of its proper divisors (311659398378720).

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

99309551616000 is an frugal number, since it uses more digits than its factorization.

99309551616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 99309551616000 in words is "ninety-nine trillion, three hundred nine billion, five hundred fifty-one million, six hundred sixteen thousand".