109056018677760 has 3808 divisors, whose sum is σ = 503360454700800. Its totient is φ = 22660990894080.

The previous prime is 109056018677759. The next prime is 109056018677831. The reversal of 109056018677760 is 67776810650901.

109056018677760 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 560 + 1 + 8 + 6 + 7 + 7 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9914183516155 + ... + 9914183516165.

Almost surely, 2^{109056018677760} is an apocalyptic number.

109056018677760 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 109056018677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251680227350400).

109056018677760 is an abundant number, since it is smaller than the sum of its proper divisors (394304436023040).

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

109056018677760 is an frugal number, since it uses more digits than its factorization.

109056018677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 109056018677760 in words is "one hundred nine trillion, fifty-six billion, eighteen million, six hundred seventy-seven thousand, seven hundred sixty".