11986509600 has 1152 divisors, whose sum is σ = 51656693760. Its totient is φ = 2687385600.

The previous prime is 11986509539. The next prime is 11986509629. The reversal of 11986509600 is 690568911.

11986509600 is a `hidden beast` number, since 1 + 1 + 9 + 86 + 509 + 60 + 0 = 666.

11986509600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386661585 + ... + 386661615.

It is an arithmetic number, because the mean of its divisors is an integer number (44840880).

Almost surely, 2^11986509600 is an apocalyptic number.

11986509600 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 11986509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828346880).

11986509600 is an abundant number, since it is smaller than the sum of its proper divisors (39670184160).

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

11986509600 is a wasteful number, since it uses less digits than its factorization.

11986509600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11986509600 in words is "eleven billion, nine hundred eighty-six million, five hundred nine thousand, six hundred".