109612000680 has 768 divisors, whose sum is σ = 432594432000. Its totient is φ = 21708251136.

The previous prime is 109612000679. The next prime is 109612000681. The reversal of 109612000680 is 86000216901.

It is an interprime number because it is at equal distance from previous prime (109612000679) and next prime (109612000681).

It is not an unprimeable number, because it can be changed into a prime (109612000681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192639436 + ... + 192640004.

It is an arithmetic number, because the mean of its divisors is an integer number (563274000).

Almost surely, 2^109612000680 is an apocalyptic number.

109612000680 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 109612000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216297216000).

109612000680 is an abundant number, since it is smaller than the sum of its proper divisors (322982431320).

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

109612000680 is a wasteful number, since it uses less digits than its factorization.

109612000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 109612000680 in words is "one hundred nine billion, six hundred twelve million, six hundred eighty", and thus it is an aban number.