11522534760 has 288 divisors, whose sum is σ = 41671113120. Its totient is φ = 2758821120.

The previous prime is 11522534719. The next prime is 11522534773. The reversal of 11522534760 is 6743522511.

11522534760 is a `hidden beast` number, since 1 + 1 + 52 + 2 + 534 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3613887 + ... + 3617073.

It is an arithmetic number, because the mean of its divisors is an integer number (144691365).

Almost surely, 2^11522534760 is an apocalyptic number.

11522534760 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 11522534760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835556560).

11522534760 is an abundant number, since it is smaller than the sum of its proper divisors (30148578360).

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

11522534760 is a wasteful number, since it uses less digits than its factorization.

11522534760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11522534760 in words is "eleven billion, five hundred twenty-two million, five hundred thirty-four thousand, seven hundred sixty".