99941193031680 has 4032 divisors, whose sum is σ = 491336869016448. Its totient is φ = 19156162314240.

The previous prime is 99941193031657. The next prime is 99941193031711. The reversal of 99941193031680 is 8613039114999.

99941193031680 is a `hidden beast` number, since 9 + 99 + 41 + 193 + 0 + 316 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 69742632244 + ... + 69742633676.

It is an arithmetic number, because the mean of its divisors is an integer number (121859342514).

Almost surely, 2^{99941193031680} is an apocalyptic number.

99941193031680 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 99941193031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245668434508224).

99941193031680 is an abundant number, since it is smaller than the sum of its proper divisors (391395675984768).

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

99941193031680 is a wasteful number, since it uses less digits than its factorization.

99941193031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 99941193031680 in words is "ninety-nine trillion, nine hundred forty-one billion, one hundred ninety-three million, thirty-one thousand, six hundred eighty".