99161625600 has 1320 divisors, whose sum is σ = 406335477240. Its totient is φ = 23781703680.

The previous prime is 99161625599. The next prime is 99161625611. The reversal of 99161625600 is 652616199.

It is a happy number.

99161625600 is a `hidden beast` number, since 9 + 9 + 1 + 6 + 16 + 25 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15052345344 + 84109280256 = 122688^2 + 290016^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1022284752 + ... + 1022284848.

It is an arithmetic number, because the mean of its divisors is an integer number (307829907).

Almost surely, 2^99161625600 is an apocalyptic number.

99161625600 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 99161625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203167738620).

99161625600 is an abundant number, since it is smaller than the sum of its proper divisors (307173851640).

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

99161625600 is a wasteful number, since it uses less digits than its factorization.

99161625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 99161625600 in words is "ninety-nine billion, one hundred sixty-one million, six hundred twenty-five thousand, six hundred".