26501739264256 has 243 divisors, whose sum is σ = 55751782317777. Its totient is φ = 12572612444160.

The previous prime is 26501739264107. The next prime is 26501739264317. The reversal of 26501739264256 is 65246293710562.

It is a happy number.

The square root of 26501739264256 is 5147984.

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

It can be written as a sum of positive squares in only one way, i.e., 11900292102400 + 14601447161856 = 3449680^2 + 3821184^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26501739264256.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247679806155 + ... + 247679806261.

Almost surely, 2^{26501739264256} is an apocalyptic number.

26501739264256 is the 5147984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26501739264256

26501739264256 is an abundant number, since it is smaller than the sum of its proper divisors (29250043053521).

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

26501739264256 is an frugal number, since it uses more digits than its factorization.

26501739264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 26501739264256 in words is "twenty-six trillion, five hundred one billion, seven hundred thirty-nine million, two hundred sixty-four thousand, two hundred fifty-six".