11861536500 has 288 divisors, whose sum is σ = 42233667840. Its totient is φ = 2776032000.

The previous prime is 11861536487. The next prime is 11861536501. The reversal of 11861536500 is 563516811.

11861536500 is a `hidden beast` number, since 1 + 1 + 8 + 615 + 36 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11861536501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431369 + ... + 1439631.

It is an arithmetic number, because the mean of its divisors is an integer number (146644680).

Almost surely, 2^11861536500 is an apocalyptic number.

11861536500 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 11861536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21116833920).

11861536500 is an abundant number, since it is smaller than the sum of its proper divisors (30372131340).

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

11861536500 is a wasteful number, since it uses less digits than its factorization.

11861536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11861536500 in words is "eleven billion, eight hundred sixty-one million, five hundred thirty-six thousand, five hundred".