99883360438272 has 384 divisors, whose sum is σ = 312462846259200. Its totient is φ = 31463138082816.

The previous prime is 99883360438139. The next prime is 99883360438289. The reversal of 99883360438272 is 27283406338899.

It is a happy number.

99883360438272 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 3 + 3 + 604 + 3 + 8 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99883360438272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105086953 + ... + 106033175.

It is an arithmetic number, because the mean of its divisors is an integer number (813705328800).

Almost surely, 2^{99883360438272} is an apocalyptic number.

99883360438272 is a gapful number since it is divisible by the number (92) 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 99883360438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156231423129600).

99883360438272 is an abundant number, since it is smaller than the sum of its proper divisors (212579485820928).

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

99883360438272 is a wasteful number, since it uses less digits than its factorization.

99883360438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946360 (or 946334 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 99883360438272 in words is "ninety-nine trillion, eight hundred eighty-three billion, three hundred sixty million, four hundred thirty-eight thousand, two hundred seventy-two".