11275851698944 has 288 divisors, whose sum is σ = 26457392102400. Its totient is φ = 4696487018496.

The previous prime is 11275851698857. The next prime is 11275851698957. The reversal of 11275851698944 is 44989615857211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5402898669 + ... + 5402900755.

It is an arithmetic number, because the mean of its divisors is an integer number (91865944800).

Almost surely, 2^{11275851698944} is an apocalyptic number.

11275851698944 is a gapful number since it is divisible by the number (14) 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 11275851698944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228696051200).

11275851698944 is an abundant number, since it is smaller than the sum of its proper divisors (15181540403456).

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

11275851698944 is a wasteful number, since it uses less digits than its factorization.

11275851698944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2661 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 70.

The spelling of 11275851698944 in words is "eleven trillion, two hundred seventy-five billion, eight hundred fifty-one million, six hundred ninety-eight thousand, nine hundred forty-four".