11260426164300 has 144 divisors (see below), whose sum is σ = 36218420622720. Its totient is φ = 3001267667520.

The previous prime is 11260426164287. The next prime is 11260426164341. The reversal of 11260426164300 is 346162406211.

11260426164300 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 0 + 4 + 2 + 6 + 1 + 643 + 0 + 0 = 666.

11260426164300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4315447 + ... + 6414353.

It is an arithmetic number, because the mean of its divisors is an integer number (251516809880).

Almost surely, 2^{11260426164300} is an apocalyptic number.

11260426164300 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 11260426164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109210311360).

11260426164300 is an abundant number, since it is smaller than the sum of its proper divisors (24957994458420).

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

11260426164300 is a wasteful number, since it uses less digits than its factorization.

11260426164300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100917 (or 2100904 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11260426164300 in words is "eleven trillion, two hundred sixty billion, four hundred twenty-six million, one hundred sixty-four thousand, three hundred".