99085783991040 has 4320 divisors, whose sum is σ = 466435141913664. Its totient is φ = 19845088542720.

The previous prime is 99085783990993. The next prime is 99085783991101. The reversal of 99085783991040 is 4019938758099.

99085783991040 is a `hidden beast` number, since 9 + 9 + 0 + 8 + 578 + 3 + 9 + 9 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99085783991040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 357710411382 + ... + 357710411658.

Almost surely, 2^{99085783991040} is an apocalyptic number.

99085783991040 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 99085783991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233217570956832).

99085783991040 is an abundant number, since it is smaller than the sum of its proper divisors (367349357922624).

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

99085783991040 is a wasteful number, since it uses less digits than its factorization.

99085783991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 99085783991040 in words is "ninety-nine trillion, eighty-five billion, seven hundred eighty-three million, nine hundred ninety-one thousand, forty".