109816627375728 has 960 divisors, whose sum is σ = 386586936852480. Its totient is φ = 28332944640000.

The previous prime is 109816627375723. The next prime is 109816627375739. The reversal of 109816627375728 is 827573726618901.

109816627375728 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 16 + 6 + 2 + 7 + 37 + 572 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109816627375723) 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, 54826073575 + ... + 54826075577.

It is an arithmetic number, because the mean of its divisors is an integer number (402694725888).

Almost surely, 2^{109816627375728} is an apocalyptic number.

109816627375728 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 109816627375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193293468426240).

109816627375728 is an abundant number, since it is smaller than the sum of its proper divisors (276770309476752).

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

109816627375728 is a wasteful number, since it uses less digits than its factorization.

109816627375728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 109816627375728 in words is "one hundred nine trillion, eight hundred sixteen billion, six hundred twenty-seven million, three hundred seventy-five thousand, seven hundred twenty-eight".