11261533680 has 280 divisors, whose sum is σ = 40529489280. Its totient is φ = 2905735680.

The previous prime is 11261533667. The next prime is 11261533693. The reversal of 11261533680 is 8633516211.

11261533680 is a `hidden beast` number, since 1 + 1 + 2 + 61 + 533 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11261533667) and next prime (11261533693).

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1804806 + ... + 1811034.

It is an arithmetic number, because the mean of its divisors is an integer number (144748176).

Almost surely, 2^11261533680 is an apocalyptic number.

11261533680 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 11261533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264744640).

11261533680 is an abundant number, since it is smaller than the sum of its proper divisors (29267955600).

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

11261533680 is an equidigital number, since it uses as much as digits as its factorization.

11261533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11261533680 in words is "eleven billion, two hundred sixty-one million, five hundred thirty-three thousand, six hundred eighty".