99216352872000 has 3584 divisors, whose sum is σ = 472049270784000. Its totient is φ = 20252187648000.

The previous prime is 99216352871957. The next prime is 99216352872001. The reversal of 99216352872000 is 27825361299.

99216352872000 is a `hidden beast` number, since 9 + 9 + 2 + 1 + 6 + 352 + 87 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99216352872001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 29857462339 + ... + 29857465661.

It is an arithmetic number, because the mean of its divisors is an integer number (131710176000).

Almost surely, 2^{99216352872000} is an apocalyptic number.

99216352872000 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 99216352872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236024635392000).

99216352872000 is an abundant number, since it is smaller than the sum of its proper divisors (372832917912000).

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

99216352872000 is a wasteful number, since it uses less digits than its factorization.

99216352872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99216352872000 in words is "ninety-nine trillion, two hundred sixteen billion, three hundred fifty-two million, eight hundred seventy-two thousand".