11057924739264 has 448 divisors, whose sum is σ = 32582443880448. Its totient is φ = 3288273408000.

The previous prime is 11057924739229. The next prime is 11057924739289. The reversal of 11057924739264 is 46293742975011.

It is a junction number, because it is equal to n+sod(n) for n = 11057924739198 and 11057924739207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4586446219 + ... + 4586448629.

It is an arithmetic number, because the mean of its divisors is an integer number (72728669376).

Almost surely, 2^{11057924739264} 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 11057924739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291221940224).

11057924739264 is an abundant number, since it is smaller than the sum of its proper divisors (21524519141184).

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

11057924739264 is a wasteful number, since it uses less digits than its factorization.

11057924739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 11057924739264 in words is "eleven trillion, fifty-seven billion, nine hundred twenty-four million, seven hundred thirty-nine thousand, two hundred sixty-four".