11560440526032 has 320 divisors, whose sum is σ = 32999361120000. Its totient is φ = 3471036678144.

The previous prime is 11560440525983. The next prime is 11560440526039. The reversal of 11560440526032 is 23062504406511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11560440526039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1844061394 + ... + 1844067662.

It is an arithmetic number, because the mean of its divisors is an integer number (103123003500).

Almost surely, 2^{11560440526032} is an apocalyptic number.

11560440526032 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 11560440526032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499680560000).

11560440526032 is an abundant number, since it is smaller than the sum of its proper divisors (21438920593968).

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

11560440526032 is a wasteful number, since it uses less digits than its factorization.

11560440526032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 11560440526032 in words is "eleven trillion, five hundred sixty billion, four hundred forty million, five hundred twenty-six thousand, thirty-two".