109787166720 has 1344 divisors, whose sum is σ = 494991544320. Its totient is φ = 22693478400.

The previous prime is 109787166707. The next prime is 109787166721. The reversal of 109787166720 is 27661787901.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109787166721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574801825 + ... + 574802015.

It is an arithmetic number, because the mean of its divisors is an integer number (368297280).

Almost surely, 2^109787166720 is an apocalyptic number.

109787166720 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 109787166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247495772160).

109787166720 is an abundant number, since it is smaller than the sum of its proper divisors (385204377600).

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

109787166720 is an equidigital number, since it uses as much as digits as its factorization.

109787166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 109787166720 in words is "one hundred nine billion, seven hundred eighty-seven million, one hundred sixty-six thousand, seven hundred twenty".