109152018720 has 384 divisors, whose sum is σ = 401507124480. Its totient is φ = 27660165120.

The previous prime is 109152018659. The next prime is 109152018737. The reversal of 109152018720 is 27810251901.

It is a happy number.

109152018720 is a `hidden beast` number, since 10 + 91 + 520 + 18 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6865180 + ... + 6881060.

It is an arithmetic number, because the mean of its divisors is an integer number (1045591470).

Almost surely, 2^109152018720 is an apocalyptic number.

109152018720 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 109152018720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200753562240).

109152018720 is an abundant number, since it is smaller than the sum of its proper divisors (292355105760).

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

109152018720 is a wasteful number, since it uses less digits than its factorization.

109152018720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15985 (or 15971 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 109152018720 in words is "one hundred nine billion, one hundred fifty-two million, eighteen thousand, seven hundred twenty".