26850025253401 has 21 divisors (see below), whose sum is σ = 31327065104149. Its totient is φ = 23012783939964.

The previous prime is 26850025253369. The next prime is 26850025253411. The reversal of 26850025253401 is 10435252005862.

The square root of 26850025253401 is 5181701.

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

It is not a de Polignac number, because 26850025253401 - 2⁵ = 26850025253369 is a prime.

It is a super-2 number, since 2×26850025253401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26850025253411) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1777315890 + ... + 1777330996.

Almost surely, 2^{26850025253401} is an apocalyptic number.

26850025253401 is the 5181701-st square number.

26850025253401 is the 2590851-st centered octagonal number.

It is an amenable number.

26850025253401 is a deficient number, since it is larger than the sum of its proper divisors (4477039850748).

26850025253401 is an frugal number, since it uses more digits than its factorization.

26850025253401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30256 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 26850025253401 in words is "twenty-six trillion, eight hundred fifty billion, twenty-five million, two hundred fifty-three thousand, four hundred one".