11560532631120 has 480 divisors, whose sum is σ = 42925981632768. Its totient is φ = 2764876800000.

The previous prime is 11560532631107. The next prime is 11560532631181. The reversal of 11560532631120 is 2113623506511.

11560532631120 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 0 + 5 + 3 + 2 + 631 + 12 + 0 = 666.

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

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, 224751805 + ... + 224803235.

Almost surely, 2^{11560532631120} is an apocalyptic number.

11560532631120 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 11560532631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21462990816384).

11560532631120 is an abundant number, since it is smaller than the sum of its proper divisors (31365449001648).

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

11560532631120 is a wasteful number, since it uses less digits than its factorization.

11560532631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51843 (or 51834 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11560532631120 in words is "eleven trillion, five hundred sixty billion, five hundred thirty-two million, six hundred thirty-one thousand, one hundred twenty".