11290527360 has 512 divisors, whose sum is σ = 47189606400. Its totient is φ = 2496614400.

The previous prime is 11290527343. The next prime is 11290527379. The reversal of 11290527360 is 6372509211.

11290527360 is a `hidden beast` number, since 1 + 1 + 290 + 5 + 2 + 7 + 360 = 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 63 ways as a sum of consecutive naturals, for example, 3748255 + ... + 3751265.

It is an arithmetic number, because the mean of its divisors is an integer number (92167200).

Almost surely, 2^11290527360 is an apocalyptic number.

11290527360 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 11290527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23594803200).

11290527360 is an abundant number, since it is smaller than the sum of its proper divisors (35899079040).

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

11290527360 is a wasteful number, since it uses less digits than its factorization.

11290527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11290527360 in words is "eleven billion, two hundred ninety million, five hundred twenty-seven thousand, three hundred sixty".