99573065067168 has 768 divisors, whose sum is σ = 364867258613760. Its totient is φ = 25664688000000.

The previous prime is 99573065067139. The next prime is 99573065067187. The reversal of 99573065067168 is 86176056037599.

99573065067168 is a `hidden beast` number, since 9 + 9 + 57 + 3 + 0 + 6 + 506 + 7 + 1 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 99573065067096 and 99573065067105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10558055413 + ... + 10558064843.

It is an arithmetic number, because the mean of its divisors is an integer number (475087576320).

Almost surely, 2^{99573065067168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99573065067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182433629306880).

99573065067168 is an abundant number, since it is smaller than the sum of its proper divisors (265294193546592).

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

99573065067168 is a wasteful number, since it uses less digits than its factorization.

99573065067168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 99573065067168 in words is "ninety-nine trillion, five hundred seventy-three billion, sixty-five million, sixty-seven thousand, one hundred sixty-eight".