39426782855625 has 675 divisors, whose sum is σ = 84248967254529. Its totient is φ = 18354992040000.

The previous prime is 39426782855567. The next prime is 39426782855659. The reversal of 39426782855625 is 52655828762493.

The square root of 39426782855625 is 6279075.

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

39426782855625 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 67 + 8 + 2 + 8 + 556 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3091059775881 + 36335723079744 = 1758141^2 + 6027912^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 39426782855625 - 2²¹ = 39426780758473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 668250556846 + ... + 668250556904.

Almost surely, 2^{39426782855625} is an apocalyptic number.

39426782855625 is the 6279075-th square number.

39426782855625 is the 3139538-th centered octagonal number.

It is an amenable number.

39426782855625 is an abundant number, since it is smaller than the sum of its proper divisors (44822184398904).

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

39426782855625 is an frugal number, since it uses more digits than its factorization.

39426782855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 121 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 39426782855625 in words is "thirty-nine trillion, four hundred twenty-six billion, seven hundred eighty-two million, eight hundred fifty-five thousand, six hundred twenty-five".