11831287536 has 240 divisors, whose sum is σ = 36308881440. Its totient is φ = 3583180800.

The previous prime is 11831287529. The next prime is 11831287543. The reversal of 11831287536 is 63578213811.

It is a happy number.

11831287536 is a `hidden beast` number, since 1 + 1 + 8 + 31 + 2 + 87 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (11831287529) and next prime (11831287543).

It is a junction number, because it is equal to n+sod(n) for n = 11831287491 and 11831287500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7389136 + ... + 7390736.

It is an arithmetic number, because the mean of its divisors is an integer number (151287006).

Almost surely, 2^11831287536 is an apocalyptic number.

11831287536 is a gapful number since it is divisible by the number (16) 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 11831287536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154440720).

11831287536 is an abundant number, since it is smaller than the sum of its proper divisors (24477593904).

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

11831287536 is a wasteful number, since it uses less digits than its factorization.

11831287536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1735 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 11831287536 in words is "eleven billion, eight hundred thirty-one million, two hundred eighty-seven thousand, five hundred thirty-six".