109268839680 has 1728 divisors, whose sum is σ = 496066830336. Its totient is φ = 20127744000.

The previous prime is 109268839679. The next prime is 109268839709. The reversal of 109268839680 is 86938862901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834113215 + ... + 834113345.

It is an arithmetic number, because the mean of its divisors is an integer number (287075712).

Almost surely, 2^109268839680 is an apocalyptic number.

109268839680 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 109268839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248033415168).

109268839680 is an abundant number, since it is smaller than the sum of its proper divisors (386797990656).

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

109268839680 is a wasteful number, since it uses less digits than its factorization.

109268839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 109268839680 in words is "one hundred nine billion, two hundred sixty-eight million, eight hundred thirty-nine thousand, six hundred eighty".