26906232465 has 72 divisors (see below), whose sum is σ = 54378972648. Its totient is φ = 12271150080.

The previous prime is 26906232449. The next prime is 26906232467. The reversal of 26906232465 is 56423260962.

26906232465 is a `hidden beast` number, since 269 + 0 + 6 + 2 + 324 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3043397889 + 23862834576 = 55167^2 + 154476^2 .

It is not a de Polignac number, because 26906232465 - 2⁴ = 26906232449 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 26906232465.

It is not an unprimeable number, because it can be changed into a prime (26906232467) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940675 + ... + 968855.

It is an arithmetic number, because the mean of its divisors is an integer number (755263509).

Almost surely, 2^26906232465 is an apocalyptic number.

It is an amenable number.

26906232465 is an abundant number, since it is smaller than the sum of its proper divisors (27472740183).

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

26906232465 is a wasteful number, since it uses less digits than its factorization.

26906232465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28639 (or 28629 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26906232465 in words is "twenty-six billion, nine hundred six million, two hundred thirty-two thousand, four hundred sixty-five".