11590742520 has 768 divisors, whose sum is σ = 48455884800. Its totient is φ = 2411182080.

The previous prime is 11590742491. The next prime is 11590742531. The reversal of 11590742520 is 2524709511.

11590742520 is a `hidden beast` number, since 1 + 1 + 5 + 90 + 7 + 42 + 520 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84603892 + ... + 84604028.

It is an arithmetic number, because the mean of its divisors is an integer number (63093600).

Almost surely, 2^11590742520 is an apocalyptic number.

11590742520 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 11590742520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227942400).

11590742520 is an abundant number, since it is smaller than the sum of its proper divisors (36865142280).

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

11590742520 is a wasteful number, since it uses less digits than its factorization.

11590742520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11590742520 in words is "eleven billion, five hundred ninety million, seven hundred forty-two thousand, five hundred twenty".