11266825941504 has 720 divisors, whose sum is σ = 38170436578560. Its totient is φ = 3189917122560.

The previous prime is 11266825941487. The next prime is 11266825941517. The reversal of 11266825941504 is 40514952866211.

It is a happy number.

11266825941504 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 6 + 82 + 59 + 4 + 1 + 504 = 666.

It is a super-2 number, since 2×11266825941504² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15163964557 + ... + 15163965299.

It is an arithmetic number, because the mean of its divisors is an integer number (53014495248).

Almost surely, 2^{11266825941504} is an apocalyptic number.

11266825941504 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 11266825941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085218289280).

11266825941504 is an abundant number, since it is smaller than the sum of its proper divisors (26903610637056).

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

11266825941504 is a wasteful number, since it uses less digits than its factorization.

11266825941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 11266825941504 in words is "eleven trillion, two hundred sixty-six billion, eight hundred twenty-five million, nine hundred forty-one thousand, five hundred four".