99005293693152 has 864 divisors, whose sum is σ = 374828304211200. Its totient is φ = 24885946483200.

The previous prime is 99005293693099. The next prime is 99005293693193. The reversal of 99005293693152 is 25139639250099.

99005293693152 is a `hidden beast` number, since 9 + 9 + 0 + 0 + 529 + 3 + 6 + 93 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99005293693152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 703197099 + ... + 703337877.

It is an arithmetic number, because the mean of its divisors is an integer number (433829055800).

Almost surely, 2^{99005293693152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99005293693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187414152105600).

99005293693152 is an abundant number, since it is smaller than the sum of its proper divisors (275823010518048).

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

99005293693152 is a wasteful number, since it uses less digits than its factorization.

99005293693152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140889 (or 140833 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 99005293693152 in words is "ninety-nine trillion, five billion, two hundred ninety-three million, six hundred ninety-three thousand, one hundred fifty-two".