109426542161760 has 2304 divisors, whose sum is σ = 429573565983744. Its totient is φ = 26191045066752.

The previous prime is 109426542161701. The next prime is 109426542161831. The reversal of 109426542161760 is 67161245624901.

109426542161760 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 26 + 542 + 1 + 6 + 1 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 109426542161697 and 109426542161706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 386666226579 + ... + 386666226861.

It is an arithmetic number, because the mean of its divisors is an integer number (186446860236).

Almost surely, 2^{109426542161760} is an apocalyptic number.

109426542161760 is a gapful number since it is divisible by the number (10) 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 109426542161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214786782991872).

109426542161760 is an abundant number, since it is smaller than the sum of its proper divisors (320147023821984).

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

109426542161760 is a wasteful number, since it uses less digits than its factorization.

109426542161760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 109426542161760 in words is "one hundred nine trillion, four hundred twenty-six billion, five hundred forty-two million, one hundred sixty-one thousand, seven hundred sixty".