11556511620126 has 192 divisors, whose sum is σ = 27714191178240. Its totient is φ = 3181169376000.

The previous prime is 11556511620109. The next prime is 11556511620191. The reversal of 11556511620126 is 62102611565511.

It is a super-2 number, since 2×11556511620126² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61669311 + ... + 61856421.

It is an arithmetic number, because the mean of its divisors is an integer number (144344745720).

Almost surely, 2^{11556511620126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556511620126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13857095589120).

11556511620126 is an abundant number, since it is smaller than the sum of its proper divisors (16157679558114).

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

11556511620126 is a wasteful number, since it uses less digits than its factorization.

11556511620126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187263 (or 187240 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 11556511620126 in words is "eleven trillion, five hundred fifty-six billion, five hundred eleven million, six hundred twenty thousand, one hundred twenty-six".