11594037265920 has 1440 divisors, whose sum is σ = 44522409222720. Its totient is φ = 2784069550080.

The previous prime is 11594037265919. The next prime is 11594037266087. The reversal of 11594037265920 is 2956273049511.

11594037265920 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 40 + 3 + 7 + 2 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17125608622 + ... + 17125609298.

It is an arithmetic number, because the mean of its divisors is an integer number (30918339738).

Almost surely, 2^{11594037265920} is an apocalyptic number.

11594037265920 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 11594037265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22261204611360).

11594037265920 is an abundant number, since it is smaller than the sum of its proper divisors (32928371956800).

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

11594037265920 is a wasteful number, since it uses less digits than its factorization.

11594037265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 11594037265920 in words is "eleven trillion, five hundred ninety-four billion, thirty-seven million, two hundred sixty-five thousand, nine hundred twenty".