11986769700 has 324 divisors, whose sum is σ = 41614906788. Its totient is φ = 2875699200.

The previous prime is 11986769689. The next prime is 11986769701. The reversal of 11986769700 is 796768911.

It can be written as a sum of positive squares in 6 ways, for example, as 10969344 + 11975800356 = 3312^2 + 109434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986769701) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8092960 + ... + 8094440.

Almost surely, 2^11986769700 is an apocalyptic number.

11986769700 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 11986769700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807453394).

11986769700 is an abundant number, since it is smaller than the sum of its proper divisors (29628137088).

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

11986769700 is a wasteful number, since it uses less digits than its factorization.

11986769700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 11986769700 in words is "eleven billion, nine hundred eighty-six million, seven hundred sixty-nine thousand, seven hundred".