10285926580224 has 525 divisors, whose sum is σ = 31943918975293. Its totient is φ = 3310413152256.

The previous prime is 10285926580217. The next prime is 10285926580261. The reversal of 10285926580224 is 42208562958201.

The square root of 10285926580224 is 3207168.

It is a perfect power (a square), and thus also a powerful number.

10285926580224 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 59 + 2 + 6 + 580 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5393690394624 + 4892236185600 = 2322432^2 + 2211840^2 .

It is a super-2 number, since 2×10285926580224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 354687123442 + ... + 354687123470.

Almost surely, 2^{10285926580224} is an apocalyptic number.

10285926580224 is the 3207168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285926580224

10285926580224 is an abundant number, since it is smaller than the sum of its proper divisors (21657992395069).

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

10285926580224 is an frugal number, since it uses more digits than its factorization.

10285926580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10285926580224 in words is "ten trillion, two hundred eighty-five billion, nine hundred twenty-six million, five hundred eighty thousand, two hundred twenty-four".