99675228270960 has 960 divisors, whose sum is σ = 370912280094720. Its totient is φ = 23895695278080.

The previous prime is 99675228270953. The next prime is 99675228271033. The reversal of 99675228270960 is 6907282257699.

99675228270960 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 522 + 8 + 2 + 7 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×99675228270960² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4296890082 + ... + 4296913278.

It is an arithmetic number, because the mean of its divisors is an integer number (386366958432).

Almost surely, 2^{99675228270960} is an apocalyptic number.

99675228270960 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 99675228270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185456140047360).

99675228270960 is an abundant number, since it is smaller than the sum of its proper divisors (271237051823760).

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

99675228270960 is a wasteful number, since it uses less digits than its factorization.

99675228270960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23486 (or 23477 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 99675228270960 in words is "ninety-nine trillion, six hundred seventy-five billion, two hundred twenty-eight million, two hundred seventy thousand, nine hundred sixty".