99517277160000 has 4410 divisors, whose sum is σ = 459096005328378. Its totient is φ = 21319925760000.

The previous prime is 99517277159981. The next prime is 99517277160061. The reversal of 99517277160000 is 6177271599.

It is a happy number.

99517277160000 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 7 + 27 + 7 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 73522942000704 + 25994335159296 = 8574552^2 + 5098464^2 .

It is a tau number, because it is divible by the number of its divisors (4410).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 629 ways as a sum of consecutive naturals, for example, 412934759880 + ... + 412934760120.

Almost surely, 2^{99517277160000} is an apocalyptic number.

99517277160000 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 99517277160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229548002664189).

99517277160000 is an abundant number, since it is smaller than the sum of its proper divisors (359578728168378).

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

99517277160000 is an equidigital number, since it uses as much as digits as its factorization.

99517277160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 99517277160000 in words is "ninety-nine trillion, five hundred seventeen billion, two hundred seventy-seven million, one hundred sixty thousand".