11986857792 has 448 divisors, whose sum is σ = 44788531200. Its totient is φ = 3058145280.

The previous prime is 11986857737. The next prime is 11986857803. The reversal of 11986857792 is 29775868911.

11986857792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11986857792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 4873459 + ... + 4875917.

It is an arithmetic number, because the mean of its divisors is an integer number (99974400).

Almost surely, 2^11986857792 is an apocalyptic number.

11986857792 is a gapful number since it is divisible by the number (12) 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 11986857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394265600).

11986857792 is an abundant number, since it is smaller than the sum of its proper divisors (32801673408).

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

11986857792 is a wasteful number, since it uses less digits than its factorization.

11986857792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2515 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 63.

The spelling of 11986857792 in words is "eleven billion, nine hundred eighty-six million, eight hundred fifty-seven thousand, seven hundred ninety-two".