11859240960000 has 1800 divisors, whose sum is σ = 50589161086464. Its totient is φ = 2618818560000.

The previous prime is 11859240959999. The next prime is 11859240960059. The reversal of 11859240960000 is 6904295811.

11859240960000 is a `hidden beast` number, since 1 + 18 + 5 + 9 + 24 + 0 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×11859240960000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19998719704 + ... + 19998720296.

Almost surely, 2^{11859240960000} is an apocalyptic number.

11859240960000 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 11859240960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25294580543232).

11859240960000 is an abundant number, since it is smaller than the sum of its proper divisors (38729920126464).

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

11859240960000 is an frugal number, since it uses more digits than its factorization.

11859240960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11859240960000 in words is "eleven trillion, eight hundred fifty-nine billion, two hundred forty million, nine hundred sixty thousand".