11131587520 has 56 divisors (see below), whose sum is σ = 26618184000. Its totient is φ = 4433974272.

The previous prime is 11131587463. The next prime is 11131587527. The reversal of 11131587520 is 2578513111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131587527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3706 + ... + 149254.

Almost surely, 2^11131587520 is an apocalyptic number.

11131587520 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 11131587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309092000).

11131587520 is an abundant number, since it is smaller than the sum of its proper divisors (15486596480).

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

11131587520 is a wasteful number, since it uses less digits than its factorization.

11131587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145805 (or 145795 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 11131587520 in words is "eleven billion, one hundred thirty-one million, five hundred eighty-seven thousand, five hundred twenty".