11636567040 has 264 divisors, whose sum is σ = 43298176752. Its totient is φ = 2659614720.

The previous prime is 11636567039. The next prime is 11636567083. The reversal of 11636567040 is 4076563611.

It is a self number, because there is not a number n which added to its sum of digits gives 11636567040.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744910 + ... + 760370.

Almost surely, 2^11636567040 is an apocalyptic number.

11636567040 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 11636567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649088376).

11636567040 is an abundant number, since it is smaller than the sum of its proper divisors (31661609712).

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

11636567040 is a wasteful number, since it uses less digits than its factorization.

11636567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15503 (or 15478 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 11636567040 in words is "eleven billion, six hundred thirty-six million, five hundred sixty-seven thousand, forty".