109960830720 has 720 divisors, whose sum is σ = 448744665600. Its totient is φ = 25469779968.

The previous prime is 109960830719. The next prime is 109960830739. The reversal of 109960830720 is 27038069901.

109960830720 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 608 + 30 + 7 + 2 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22910881 + ... + 22915679.

It is an arithmetic number, because the mean of its divisors is an integer number (623256480).

Almost surely, 2^109960830720 is an apocalyptic number.

109960830720 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 109960830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224372332800).

109960830720 is an abundant number, since it is smaller than the sum of its proper divisors (338783834880).

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

109960830720 is a wasteful number, since it uses less digits than its factorization.

109960830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 109960830720 in words is "one hundred nine billion, nine hundred sixty million, eight hundred thirty thousand, seven hundred twenty".