109135175020560 has 800 divisors, whose sum is σ = 443893114459872. Its totient is φ = 24600447221760.

The previous prime is 109135175020549. The next prime is 109135175020603. The reversal of 109135175020560 is 65020571531901.

109135175020560 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 3 + 5 + 17 + 50 + 20 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10699885860624 + 98435289159936 = 3271068^2 + 9921456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 51957130 + ... + 54016790.

Almost surely, 2^{109135175020560} is an apocalyptic number.

109135175020560 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 109135175020560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221946557229936).

109135175020560 is an abundant number, since it is smaller than the sum of its proper divisors (334757939439312).

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

109135175020560 is a wasteful number, since it uses less digits than its factorization.

109135175020560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059753 (or 2059738 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 109135175020560 in words is "one hundred nine trillion, one hundred thirty-five billion, one hundred seventy-five million, twenty thousand, five hundred sixty".