11556510136542 has 128 divisors (see below), whose sum is σ = 29767709952000. Its totient is φ = 3254866675200.

The previous prime is 11556510136529. The next prime is 11556510136601. The reversal of 11556510136542 is 24563101565511.

11556510136542 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 65 + 10 + 1 + 36 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202571542 + ... + 202628582.

It is an arithmetic number, because the mean of its divisors is an integer number (232560234000).

Almost surely, 2^{11556510136542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556510136542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883854976000).

11556510136542 is an abundant number, since it is smaller than the sum of its proper divisors (18211199815458).

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

11556510136542 is a wasteful number, since it uses less digits than its factorization.

11556510136542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64679 (or 64673 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 11556510136542 in words is "eleven trillion, five hundred fifty-six billion, five hundred ten million, one hundred thirty-six thousand, five hundred forty-two".