11566135581000 has 1024 divisors, whose sum is σ = 48750905548800. Its totient is φ = 2204775936000.

The previous prime is 11566135580981. The next prime is 11566135581079. The reversal of 11566135581000 is 18553166511.

It is a super-2 number, since 2×11566135581000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 489477186 + ... + 489500814.

It is an arithmetic number, because the mean of its divisors is an integer number (47608306200).

Almost surely, 2^{11566135581000} is an apocalyptic number.

11566135581000 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 11566135581000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24375452774400).

11566135581000 is an abundant number, since it is smaller than the sum of its proper divisors (37184769967800).

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

11566135581000 is a wasteful number, since it uses less digits than its factorization.

11566135581000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23847 (or 23833 counting only the distinct ones).

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

The spelling of 11566135581000 in words is "eleven trillion, five hundred sixty-six billion, one hundred thirty-five million, five hundred eighty-one thousand".