109810268568 has 1280 divisors, whose sum is σ = 439631216640. Its totient is φ = 24690355200.

The previous prime is 109810268563. The next prime is 109810268597. The reversal of 109810268568 is 865862018901.

It is a happy number.

109810268568 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 10 + 2 + 68 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109810268563) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 864647721 + ... + 864647847.

It is an arithmetic number, because the mean of its divisors is an integer number (343461888).

Almost surely, 2^109810268568 is an apocalyptic number.

109810268568 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 109810268568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219815608320).

109810268568 is an abundant number, since it is smaller than the sum of its proper divisors (329820948072).

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

109810268568 is a wasteful number, since it uses less digits than its factorization.

109810268568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 109810268568 in words is "one hundred nine billion, eight hundred ten million, two hundred sixty-eight thousand, five hundred sixty-eight".