11859606150912 has 864 divisors, whose sum is σ = 39558318858240. Its totient is φ = 3519041863680.

The previous prime is 11859606150911. The next prime is 11859606150971. The reversal of 11859606150912 is 21905160695811.

It is a happy number.

11859606150912 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 9 + 6 + 0 + 615 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11859606150911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9200624764 + ... + 9200626052.

Almost surely, 2^{11859606150912} is an apocalyptic number.

11859606150912 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 11859606150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779159429120).

11859606150912 is an abundant number, since it is smaller than the sum of its proper divisors (27698712707328).

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

11859606150912 is a wasteful number, since it uses less digits than its factorization.

11859606150912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 11859606150912 in words is "eleven trillion, eight hundred fifty-nine billion, six hundred six million, one hundred fifty thousand, nine hundred twelve".