109752459264 has 336 divisors, whose sum is σ = 365846807040. Its totient is φ = 31054233600.

The previous prime is 109752459251. The next prime is 109752459281. The reversal of 109752459264 is 462954257901.

It is a happy number.

109752459264 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 524 + 59 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 109752459264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56253489 + ... + 56255439.

Almost surely, 2^109752459264 is an apocalyptic number.

109752459264 is a gapful number since it is divisible by the number (14) 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 109752459264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182923403520).

109752459264 is an abundant number, since it is smaller than the sum of its proper divisors (256094347776).

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

109752459264 is a wasteful number, since it uses less digits than its factorization.

109752459264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 109752459264 in words is "one hundred nine billion, seven hundred fifty-two million, four hundred fifty-nine thousand, two hundred sixty-four".