99520312721760 has 576 divisors, whose sum is σ = 409707187344000. Its totient is φ = 21963100336128.

The previous prime is 99520312721743. The next prime is 99520312721773. The reversal of 99520312721760 is 6712721302599.

99520312721760 is a `hidden beast` number, since 9 + 9 + 52 + 0 + 312 + 7 + 217 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 99520312721697 and 99520312721706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10849702 + ... + 17797658.

It is an arithmetic number, because the mean of its divisors is an integer number (711297200250).

Almost surely, 2^{99520312721760} is an apocalyptic number.

99520312721760 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 99520312721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204853593672000).

99520312721760 is an abundant number, since it is smaller than the sum of its proper divisors (310186874622240).

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

99520312721760 is a wasteful number, since it uses less digits than its factorization.

99520312721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948028 (or 6948003 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 99520312721760 in words is "ninety-nine trillion, five hundred twenty billion, three hundred twelve million, seven hundred twenty-one thousand, seven hundred sixty".