11251055626056 has 256 divisors, whose sum is σ = 34249822560000. Its totient is φ = 3409580169216.

The previous prime is 11251055626021. The next prime is 11251055626099. The reversal of 11251055626056 is 65062655015211.

It is a happy number.

11251055626056 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 10 + 5 + 5 + 626 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×11251055626056² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10577410 + ... + 11592398.

It is an arithmetic number, because the mean of its divisors is an integer number (133788369375).

Almost surely, 2^{11251055626056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11251055626056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124911280000).

11251055626056 is an abundant number, since it is smaller than the sum of its proper divisors (22998766933944).

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

11251055626056 is a wasteful number, since it uses less digits than its factorization.

11251055626056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015133 (or 1015123 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 11251055626056 in words is "eleven trillion, two hundred fifty-one billion, fifty-five million, six hundred twenty-six thousand, fifty-six".