109662264720 has 240 divisors, whose sum is σ = 382259492160. Its totient is φ = 29217480192.

The previous prime is 109662264689. The next prime is 109662264749. The reversal of 109662264720 is 27462266901.

109662264720 is a `hidden beast` number, since 10 + 9 + 6 + 622 + 6 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×109662264720³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 33960066 + ... + 33963294.

It is an arithmetic number, because the mean of its divisors is an integer number (1592747884).

Almost surely, 2^109662264720 is an apocalyptic number.

109662264720 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 109662264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191129746080).

109662264720 is an abundant number, since it is smaller than the sum of its proper divisors (272597227440).

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

109662264720 is a wasteful number, since it uses less digits than its factorization.

109662264720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 109662264720 in words is "one hundred nine billion, six hundred sixty-two million, two hundred sixty-four thousand, seven hundred twenty".