11371125761760 has 192 divisors, whose sum is σ = 36239630817600. Its totient is φ = 2996849049600.

The previous prime is 11371125761759. The next prime is 11371125761813. The reversal of 11371125761760 is 6716752117311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18629410 + ... + 19230110.

It is an arithmetic number, because the mean of its divisors is an integer number (188748077175).

Almost surely, 2^{11371125761760} is an apocalyptic number.

11371125761760 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 11371125761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119815408800).

11371125761760 is an abundant number, since it is smaller than the sum of its proper divisors (24868505055840).

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

11371125761760 is a wasteful number, since it uses less digits than its factorization.

11371125761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601181 (or 601173 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 48.

The spelling of 11371125761760 in words is "eleven trillion, three hundred seventy-one billion, one hundred twenty-five million, seven hundred sixty-one thousand, seven hundred sixty".