11251725260160 has 1536 divisors, whose sum is σ = 46722397962240. Its totient is φ = 2252128665600.

The previous prime is 11251725260147. The next prime is 11251725260161. The reversal of 11251725260160 is 6106252715211.

11251725260160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251725260161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15476925717 + ... + 15476926443.

It is an arithmetic number, because the mean of its divisors is an integer number (30418227840).

Almost surely, 2^{11251725260160} is an apocalyptic number.

11251725260160 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 11251725260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23361198981120).

11251725260160 is an abundant number, since it is smaller than the sum of its proper divisors (35470672702080).

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

11251725260160 is a wasteful number, since it uses less digits than its factorization.

11251725260160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

Adding to 11251725260160 its reverse (6106252715211), we get a palindrome (17357977975371).

The spelling of 11251725260160 in words is "eleven trillion, two hundred fifty-one billion, seven hundred twenty-five million, two hundred sixty thousand, one hundred sixty".