1109958559632 has 180 divisors, whose sum is σ = 3382477235280. Its totient is φ = 339616412928.

The previous prime is 1109958559601. The next prime is 1109958559669. The reversal of 1109958559632 is 2369558599011.

1109958559632 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 5 + 8 + 5 + 596 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1109958559632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4228743 + ... + 4483545.

It is an arithmetic number, because the mean of its divisors is an integer number (18791540196).

Almost surely, 2^{1109958559632} is an apocalyptic number.

1109958559632 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 1109958559632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691238617640).

1109958559632 is an abundant number, since it is smaller than the sum of its proper divisors (2272518675648).

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

1109958559632 is a wasteful number, since it uses less digits than its factorization.

1109958559632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255022 (or 255000 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 1109958559632 in words is "one trillion, one hundred nine billion, nine hundred fifty-eight million, five hundred fifty-nine thousand, six hundred thirty-two".