11386860120 has 320 divisors, whose sum is σ = 39073320000. Its totient is φ = 2973791232.

The previous prime is 11386860091. The next prime is 11386860137. The reversal of 11386860120 is 2106868311.

11386860120 is a `hidden beast` number, since 11 + 38 + 6 + 8 + 601 + 2 + 0 = 666.

11386860120 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 (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 49724166 + ... + 49724394.

It is an arithmetic number, because the mean of its divisors is an integer number (122104125).

Almost surely, 2^11386860120 is an apocalyptic number.

11386860120 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 11386860120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19536660000).

11386860120 is an abundant number, since it is smaller than the sum of its proper divisors (27686459880).

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

11386860120 is a wasteful number, since it uses less digits than its factorization.

11386860120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11386860120 in words is "eleven billion, three hundred eighty-six million, eight hundred sixty thousand, one hundred twenty".