10959109539840 has 3840 divisors, whose sum is σ = 52023645273600. Its totient is φ = 2140353331200.

The previous prime is 10959109539799. The next prime is 10959109539877. The reversal of 10959109539840 is 4893590195901.

10959109539840 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 9 + 10 + 9 + 539 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 112980510672 + ... + 112980510768.

It is an arithmetic number, because the mean of its divisors is an integer number (13547824290).

Almost surely, 2^{10959109539840} is an apocalyptic number.

10959109539840 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 10959109539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011822636800).

10959109539840 is an abundant number, since it is smaller than the sum of its proper divisors (41064535733760).

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

10959109539840 is a wasteful number, since it uses less digits than its factorization.

10959109539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 10959109539840 in words is "ten trillion, nine hundred fifty-nine billion, one hundred nine million, five hundred thirty-nine thousand, eight hundred forty".