99519112405440 has 1344 divisors, whose sum is σ = 431679259275264. Its totient is φ = 20482966388736.

The previous prime is 99519112405357. The next prime is 99519112405469. The reversal of 99519112405440 is 4450421191599.

99519112405440 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 91 + 1 + 2 + 4 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3781539162 + ... + 3781565478.

It is an arithmetic number, because the mean of its divisors is an integer number (321189925056).

Almost surely, 2^{99519112405440} is an apocalyptic number.

99519112405440 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 99519112405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215839629637632).

99519112405440 is an abundant number, since it is smaller than the sum of its proper divisors (332160146869824).

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

99519112405440 is a wasteful number, since it uses less digits than its factorization.

99519112405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26714 (or 26701 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 99519112405440 in words is "ninety-nine trillion, five hundred nineteen billion, one hundred twelve million, four hundred five thousand, four hundred forty".