11555616642540 has 192 divisors, whose sum is σ = 32742154368000. Its totient is φ = 3044856315904.

The previous prime is 11555616642523. The next prime is 11555616642587. The reversal of 11555616642540 is 4524661655511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6256423897 + ... + 6256425743.

It is an arithmetic number, because the mean of its divisors is an integer number (170532054000).

Almost surely, 2^{11555616642540} is an apocalyptic number.

11555616642540 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 11555616642540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371077184000).

11555616642540 is an abundant number, since it is smaller than the sum of its proper divisors (21186537725460).

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

11555616642540 is a wasteful number, since it uses less digits than its factorization.

11555616642540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 51.

The spelling of 11555616642540 in words is "eleven trillion, five hundred fifty-five billion, six hundred sixteen million, six hundred forty-two thousand, five hundred forty".