26347457761 has 27 divisors (see below), whose sum is σ = 28017184377. Its totient is φ = 24776372160.

The previous prime is 26347457723. The next prime is 26347457771. The reversal of 26347457761 is 16775474362.

The square root of 26347457761 is 162319.

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

It can be written as a sum of positive squares in 4 ways, for example, as 311699025 + 26035758736 = 17655^2 + 161356^2 .

It is not a de Polignac number, because 26347457761 - 2⁹ = 26347457249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26347457699 and 26347457708.

It is not an unprimeable number, because it can be changed into a prime (26347457711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 246237870 + ... + 246237976.

Almost surely, 2^26347457761 is an apocalyptic number.

26347457761 is the 162319-th square number.

26347457761 is the 81160-th centered octagonal number.

It is an amenable number.

26347457761 is a deficient number, since it is larger than the sum of its proper divisors (1669726616).

26347457761 is an frugal number, since it uses more digits than its factorization.

26347457761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 52.

The spelling of 26347457761 in words is "twenty-six billion, three hundred forty-seven million, four hundred fifty-seven thousand, seven hundred sixty-one".