11726778240 has 320 divisors, whose sum is σ = 42778359360. Its totient is φ = 3059970048.

The previous prime is 11726778197. The next prime is 11726778269. The reversal of 11726778240 is 4287762711.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2434074 + ... + 2438886.

It is an arithmetic number, because the mean of its divisors is an integer number (133682373).

Almost surely, 2^11726778240 is an apocalyptic number.

11726778240 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 11726778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21389179680).

11726778240 is an abundant number, since it is smaller than the sum of its proper divisors (31051581120).

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

11726778240 is an equidigital number, since it uses as much as digits as its factorization.

11726778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 11726778240 in words is "eleven billion, seven hundred twenty-six million, seven hundred seventy-eight thousand, two hundred forty".