109948628960 has 96 divisors (see below), whose sum is σ = 262471702752. Its totient is φ = 43520174080.

The previous prime is 109948628947. The next prime is 109948628981. The reversal of 109948628960 is 69826849901.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 109948628893 and 109948628902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18161294 + ... + 18167346.

It is an arithmetic number, because the mean of its divisors is an integer number (2734080237).

Almost surely, 2^109948628960 is an apocalyptic number.

109948628960 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 109948628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131235851376).

109948628960 is an abundant number, since it is smaller than the sum of its proper divisors (152523073792).

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

109948628960 is a wasteful number, since it uses less digits than its factorization.

109948628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 62.

The spelling of 109948628960 in words is "one hundred nine billion, nine hundred forty-eight million, six hundred twenty-eight thousand, nine hundred sixty".