10226560675584 has 288 divisors, whose sum is σ = 30733075779840. Its totient is φ = 2990409318400.

The previous prime is 10226560675559. The next prime is 10226560675589. The reversal of 10226560675584 is 48557606562201.

It is a super-3 number, since 3×10226560675584³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226560675589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473068744 + ... + 473090360.

It is an arithmetic number, because the mean of its divisors is an integer number (106712068680).

Almost surely, 2^{10226560675584} 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 10226560675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366537889920).

10226560675584 is an abundant number, since it is smaller than the sum of its proper divisors (20506515104256).

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

10226560675584 is a wasteful number, since it uses less digits than its factorization.

10226560675584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23607 (or 23593 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 10226560675584 in words is "ten trillion, two hundred twenty-six billion, five hundred sixty million, six hundred seventy-five thousand, five hundred eighty-four".