11278736707840 has 432 divisors, whose sum is σ = 31594766200704. Its totient is φ = 3846411878400.

The previous prime is 11278736707831. The next prime is 11278736707859. The reversal of 11278736707840 is 4870763787211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17874384325 + ... + 17874384955.

It is an arithmetic number, because the mean of its divisors is an integer number (73136032872).

Almost surely, 2^{11278736707840} is an apocalyptic number.

11278736707840 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 11278736707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797383100352).

11278736707840 is an abundant number, since it is smaller than the sum of its proper divisors (20316029492864).

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

11278736707840 is an equidigital number, since it uses as much as digits as its factorization.

11278736707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 61.

The spelling of 11278736707840 in words is "eleven trillion, two hundred seventy-eight billion, seven hundred thirty-six million, seven hundred seven thousand, eight hundred forty".