109917826852608 has 216 divisors, whose sum is σ = 324913020672240. Its totient is φ = 35718493224960.

The previous prime is 109917826852591. The next prime is 109917826852627. The reversal of 109917826852608 is 806258628719901.

109917826852608 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 1 + 7 + 8 + 2 + 6 + 8 + 5 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50551758 + ... + 52681266.

Almost surely, 2^{109917826852608} is an apocalyptic number.

109917826852608 is a gapful number since it is divisible by the number (18) 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 109917826852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162456510336120).

109917826852608 is an abundant number, since it is smaller than the sum of its proper divisors (214995193819632).

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

109917826852608 is a wasteful number, since it uses less digits than its factorization.

109917826852608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130095 (or 2130078 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 109917826852608 in words is "one hundred nine trillion, nine hundred seventeen billion, eight hundred twenty-six million, eight hundred fifty-two thousand, six hundred eight".