99350100725760 has 312 divisors, whose sum is σ = 344552879220264. Its totient is φ = 26479417098240.

The previous prime is 99350100725723. The next prime is 99350100725773. The reversal of 99350100725760 is 6752700105399.

99350100725760 is a `hidden beast` number, since 9 + 9 + 3 + 50 + 10 + 0 + 7 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16515055632384 + 82835045093376 = 4063872^2 + 9101376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 99350100725697 and 99350100725706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352463280 + ... + 352745040.

It is an arithmetic number, because the mean of its divisors is an integer number (1104336151347).

Almost surely, 2^{99350100725760} is an apocalyptic number.

99350100725760 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 99350100725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172276439610132).

99350100725760 is an abundant number, since it is smaller than the sum of its proper divisors (245202778494504).

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

99350100725760 is a wasteful number, since it uses less digits than its factorization.

99350100725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283709 (or 283684 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 99350100725760 in words is "ninety-nine trillion, three hundred fifty billion, one hundred million, seven hundred twenty-five thousand, seven hundred sixty".