99416513839104 has 1296 divisors, whose sum is σ = 378028291769856. Its totient is φ = 25818012057600.

The previous prime is 99416513839079. The next prime is 99416513839151. The reversal of 99416513839104 is 40193831561499.

99416513839104 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 6 + 513 + 8 + 3 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17167414449 + ... + 17167420239.

It is an arithmetic number, because the mean of its divisors is an integer number (291688496736).

Almost surely, 2^{99416513839104} 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 99416513839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189014145884928).

99416513839104 is an abundant number, since it is smaller than the sum of its proper divisors (278611777930752).

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

99416513839104 is an frugal number, since it uses more digits than its factorization.

99416513839104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 99416513839104 in words is "ninety-nine trillion, four hundred sixteen billion, five hundred thirteen million, eight hundred thirty-nine thousand, one hundred four".