11561189472 has 144 divisors (see below), whose sum is σ = 37620404640. Its totient is φ = 3299106816.

The previous prime is 11561189459. The next prime is 11561189513. The reversal of 11561189472 is 27498116511.

11561189472 is a `hidden beast` number, since 1 + 1 + 561 + 1 + 89 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11561189472² (a number of 21 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 23 ways as a sum of consecutive naturals, for example, 1869778 + ... + 1875950.

It is an arithmetic number, because the mean of its divisors is an integer number (261252810).

Almost surely, 2^11561189472 is an apocalyptic number.

11561189472 is a gapful number since it is divisible by the number (12) 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 11561189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810202320).

11561189472 is an abundant number, since it is smaller than the sum of its proper divisors (26059215168).

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

11561189472 is a wasteful number, since it uses less digits than its factorization.

11561189472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7114 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 11561189472 in words is "eleven billion, five hundred sixty-one million, one hundred eighty-nine thousand, four hundred seventy-two".