109865765952 has 168 divisors, whose sum is σ = 327776067840. Its totient is φ = 35141299200.

The previous prime is 109865765951. The next prime is 109865766013. The reversal of 109865765952 is 259567568901.

109865765952 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 6 + 576 + 5 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 109865765952.

It is not an unprimeable number, because it can be changed into a prime (109865765951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702577 + ... + 2742927.

Almost surely, 2^109865765952 is an apocalyptic number.

109865765952 is a gapful number since it is divisible by the number (12) 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 109865765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163888033920).

109865765952 is an abundant number, since it is smaller than the sum of its proper divisors (217910301888).

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

109865765952 is a wasteful number, since it uses less digits than its factorization.

109865765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40561 (or 40548 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 109865765952 in words is "one hundred nine billion, eight hundred sixty-five million, seven hundred sixty-five thousand, nine hundred fifty-two".