109293885792 has 480 divisors, whose sum is σ = 396770197824. Its totient is φ = 28740096000.

The previous prime is 109293885733. The next prime is 109293885797. The reversal of 109293885792 is 297588392901.

109293885792 is a `hidden beast` number, since 1 + 0 + 9 + 29 + 38 + 8 + 579 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109293885797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155911042 + ... + 155911742.

Almost surely, 2^109293885792 is an apocalyptic number.

109293885792 is a gapful number since it is divisible by the number (12) 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 109293885792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198385098912).

109293885792 is an abundant number, since it is smaller than the sum of its proper divisors (287476312032).

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

109293885792 is a wasteful number, since it uses less digits than its factorization.

109293885792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 109293885792 in words is "one hundred nine billion, two hundred ninety-three million, eight hundred eighty-five thousand, seven hundred ninety-two".