11681789280 has 384 divisors, whose sum is σ = 43972346880. Its totient is φ = 2550374400.

The previous prime is 11681789279. The next prime is 11681789321. The reversal of 11681789280 is 8298718611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9840847 + ... + 9842033.

It is an arithmetic number, because the mean of its divisors is an integer number (114511320).

Almost surely, 2^11681789280 is an apocalyptic number.

11681789280 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 11681789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986173440).

11681789280 is an abundant number, since it is smaller than the sum of its proper divisors (32290557600).

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

11681789280 is a wasteful number, since it uses less digits than its factorization.

11681789280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 51.

The spelling of 11681789280 in words is "eleven billion, six hundred eighty-one million, seven hundred eighty-nine thousand, two hundred eighty".