109011640320 has 1120 divisors, whose sum is σ = 445313531520. Its totient is φ = 25268060160.

The previous prime is 109011640319. The next prime is 109011640321. The reversal of 109011640320 is 23046110901.

109011640320 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 11 + 640 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109011640319) and next prime (109011640321).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109011640321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1058365389 + ... + 1058365491.

Almost surely, 2^109011640320 is an apocalyptic number.

109011640320 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 109011640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222656765760).

109011640320 is an abundant number, since it is smaller than the sum of its proper divisors (336301891200).

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

109011640320 is a wasteful number, since it uses less digits than its factorization.

109011640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 109011640320 in words is "one hundred nine billion, eleven million, six hundred forty thousand, three hundred twenty".