109119040579584 has 384 divisors, whose sum is σ = 372682713312000. Its totient is φ = 30900954857472.

The previous prime is 109119040579579. The next prime is 109119040579597. The reversal of 109119040579584 is 485975040911901.

109119040579584 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 1 + 9 + 0 + 4 + 0 + 579 + 58 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×109119040579584² (a number of 29 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 42491752 + ... + 44986520.

It is an arithmetic number, because the mean of its divisors is an integer number (970527899250).

Almost surely, 2^{109119040579584} is an apocalyptic number.

109119040579584 is a gapful number since it is divisible by the number (14) 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 109119040579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186341356656000).

109119040579584 is an abundant number, since it is smaller than the sum of its proper divisors (263563672732416).

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

109119040579584 is a wasteful number, since it uses less digits than its factorization.

109119040579584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494920 (or 2494894 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 109119040579584 in words is "one hundred nine trillion, one hundred nineteen billion, forty million, five hundred seventy-nine thousand, five hundred eighty-four".