11524228560 has 320 divisors, whose sum is σ = 43198901760. Its totient is φ = 2806824960.

The previous prime is 11524228559. The next prime is 11524228561. The reversal of 11524228560 is 6582242511.

11524228560 is a `hidden beast` number, since 1 + 1 + 52 + 42 + 2 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (11524228559) and next prime (11524228561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11524228561) 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, 2721645 + ... + 2725875.

It is an arithmetic number, because the mean of its divisors is an integer number (134996568).

Almost surely, 2^11524228560 is an apocalyptic number.

11524228560 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 11524228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599450880).

11524228560 is an abundant number, since it is smaller than the sum of its proper divisors (31674673200).

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

11524228560 is a wasteful number, since it uses less digits than its factorization.

11524228560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11524228560 in words is "eleven billion, five hundred twenty-four million, two hundred twenty-eight thousand, five hundred sixty".