109640967045120 has 720 divisors, whose sum is σ = 435313518651648. Its totient is φ = 25006579384320.

The previous prime is 109640967045073. The next prime is 109640967045131. The reversal of 109640967045120 is 21540769046901.

109640967045120 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 409 + 6 + 70 + 45 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×109640967045120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410145575 + ... + 2410191065.

Almost surely, 2^{109640967045120} is an apocalyptic number.

109640967045120 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 109640967045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217656759325824).

109640967045120 is an abundant number, since it is smaller than the sum of its proper divisors (325672551606528).

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

109640967045120 is an equidigital number, since it uses as much as digits as its factorization.

109640967045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46004 (or 45975 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 109640967045120 in words is "one hundred nine trillion, six hundred forty billion, nine hundred sixty-seven million, forty-five thousand, one hundred twenty".