11556599040 has 648 divisors, whose sum is σ = 47437397280. Its totient is φ = 2589253632.

The previous prime is 11556599017. The next prime is 11556599059. The reversal of 11556599040 is 4099565511.

It is a happy number.

11556599040 is a `hidden beast` number, since 1 + 1 + 5 + 56 + 599 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33304147 + ... + 33304493.

It is an arithmetic number, because the mean of its divisors is an integer number (73205860).

Almost surely, 2^11556599040 is an apocalyptic number.

11556599040 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 11556599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718698640).

11556599040 is an abundant number, since it is smaller than the sum of its proper divisors (35880798240).

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

11556599040 is a wasteful number, since it uses less digits than its factorization.

11556599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 11556599040 in words is "eleven billion, five hundred fifty-six million, five hundred ninety-nine thousand, forty".