109559283264 has 336 divisors, whose sum is σ = 337401529920. Its totient is φ = 35227146240.

The previous prime is 109559283209. The next prime is 109559283313. The reversal of 109559283264 is 462382955901.

109559283264 is a `hidden beast` number, since 1 + 0 + 9 + 559 + 2 + 83 + 2 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 109559283264.

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, 50278527 + ... + 50280705.

It is an arithmetic number, because the mean of its divisors is an integer number (1004171220).

Almost surely, 2^109559283264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109559283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168700764960).

109559283264 is an abundant number, since it is smaller than the sum of its proper divisors (227842246656).

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

109559283264 is an equidigital number, since it uses as much as digits as its factorization.

109559283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 109559283264 in words is "one hundred nine billion, five hundred fifty-nine million, two hundred eighty-three thousand, two hundred sixty-four".