109596960000 has 1620 divisors, whose sum is σ = 471979383876. Its totient is φ = 24330240000.

The previous prime is 109596959951. The next prime is 109596960001. The reversal of 109596960000 is 69695901.

It can be written as a sum of positive squares in 10 ways, for example, as 44828745984 + 64768214016 = 211728^2 + 254496^2 .

It is a super-2 number, since 2×109596960000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109596960001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2962079982 + ... + 2962080018.

Almost surely, 2^109596960000 is an apocalyptic number.

109596960000 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 109596960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235989691938).

109596960000 is an abundant number, since it is smaller than the sum of its proper divisors (362382423876).

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

109596960000 is a wasteful number, since it uses less digits than its factorization.

109596960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 109596960000 in words is "one hundred nine billion, five hundred ninety-six million, nine hundred sixty thousand".