11561081472000 has 2112 divisors, whose sum is σ = 46197172869120. Its totient is φ = 2767454208000.

The previous prime is 11561081471999. The next prime is 11561081472041. The reversal of 11561081472000 is 27418016511.

11561081472000 is a `hidden beast` number, since 1 + 1 + 5 + 610 + 8 + 14 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83173247931 + ... + 83173248069.

Almost surely, 2^{11561081472000} is an apocalyptic number.

11561081472000 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 11561081472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098586434560).

11561081472000 is an abundant number, since it is smaller than the sum of its proper divisors (34636091397120).

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

11561081472000 is a wasteful number, since it uses less digits than its factorization.

11561081472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 11561081472000 its reverse (27418016511), we get a palindrome (11588499488511).

The spelling of 11561081472000 in words is "eleven trillion, five hundred sixty-one billion, eighty-one million, four hundred seventy-two thousand".