11260225066500 has 576 divisors, whose sum is σ = 36369961205760. Its totient is φ = 2932186521600.

The previous prime is 11260225066481. The next prime is 11260225066543. The reversal of 11260225066500 is 566052206211.

11260225066500 is a `hidden beast` number, since 1 + 1 + 26 + 0 + 22 + 50 + 66 + 500 = 666.

11260225066500 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 191 ways as a sum of consecutive naturals, for example, 12694729057 + ... + 12694729943.

It is an arithmetic number, because the mean of its divisors is an integer number (63142293760).

Almost surely, 2^{11260225066500} is an apocalyptic number.

11260225066500 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 11260225066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184980602880).

11260225066500 is an abundant number, since it is smaller than the sum of its proper divisors (25109736139260).

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

11260225066500 is a wasteful number, since it uses less digits than its factorization.

11260225066500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11260225066500 in words is "eleven trillion, two hundred sixty billion, two hundred twenty-five million, sixty-six thousand, five hundred".