26959012864 has 99 divisors (see below), whose sum is σ = 62775985617. Its totient is φ = 11538100224.

The previous prime is 26959012849. The next prime is 26959012877. The reversal of 26959012864 is 46821095962.

The square root of 26959012864 is 164192.

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., 26373760000 + 585252864 = 162400^2 + 24192^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36778642 + ... + 36779374.

Almost surely, 2^26959012864 is an apocalyptic number.

26959012864 is the 164192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26959012864

26959012864 is an abundant number, since it is smaller than the sum of its proper divisors (35816972753).

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

26959012864 is an frugal number, since it uses more digits than its factorization.

26959012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 26959012864 in words is "twenty-six billion, nine hundred fifty-nine million, twelve thousand, eight hundred sixty-four".