99431134709760 has 1152 divisors, whose sum is σ = 409964830329600. Its totient is φ = 22641562091520.

The previous prime is 99431134709717. The next prime is 99431134709783. The reversal of 99431134709760 is 6790743113499.

99431134709760 is a `hidden beast` number, since 9 + 9 + 4 + 3 + 1 + 13 + 470 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 4685495950 + ... + 4685517170.

It is an arithmetic number, because the mean of its divisors is an integer number (355872248550).

Almost surely, 2^{99431134709760} is an apocalyptic number.

99431134709760 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 99431134709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204982415164800).

99431134709760 is an abundant number, since it is smaller than the sum of its proper divisors (310533695619840).

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

99431134709760 is a wasteful number, since it uses less digits than its factorization.

99431134709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21539 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 99431134709760 in words is "ninety-nine trillion, four hundred thirty-one billion, one hundred thirty-four million, seven hundred nine thousand, seven hundred sixty".