259895800461 has 32 divisors (see below), whose sum is σ = 382963968000. Its totient is φ = 155458442880.

The previous prime is 259895800421. The next prime is 259895800511. The reversal of 259895800461 is 164008598952.

It is a happy number.

It is not a de Polignac number, because 259895800461 - 2¹³ = 259895792269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259895800421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7221690 + ... + 7257588.

It is an arithmetic number, because the mean of its divisors is an integer number (11967624000).

Almost surely, 2^259895800461 is an apocalyptic number.

It is an amenable number.

259895800461 is a deficient number, since it is larger than the sum of its proper divisors (123068167539).

259895800461 is a wasteful number, since it uses less digits than its factorization.

259895800461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38769.

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 259895800461 in words is "two hundred fifty-nine billion, eight hundred ninety-five million, eight hundred thousand, four hundred sixty-one".