11561472000 has 624 divisors, whose sum is σ = 45116421168. Its totient is φ = 2831155200.

The previous prime is 11561471981. The next prime is 11561472053. The reversal of 11561472000 is 27416511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7498174464 + 4063297536 = 86592^2 + 63744^2 .

It is a tau number, because it is divible by the number of its divisors (624).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59903904 + ... + 59904096.

It is an arithmetic number, because the mean of its divisors is an integer number (72301957).

Almost surely, 2^11561472000 is an apocalyptic number.

11561472000 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 11561472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558210584).

11561472000 is an abundant number, since it is smaller than the sum of its proper divisors (33554949168).

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

11561472000 is a wasteful number, since it uses less digits than its factorization.

11561472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 11561472000 its reverse (27416511), we get a palindrome (11588888511).

The spelling of 11561472000 in words is "eleven billion, five hundred sixty-one million, four hundred seventy-two thousand".