259655652864 has 400 divisors, whose sum is σ = 804371641920. Its totient is φ = 83328860160.

The previous prime is 259655652857. The next prime is 259655652889. The reversal of 259655652864 is 468256556952.

259655652864 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 5 + 565 + 2 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134326842 + ... + 134328774.

Almost surely, 2^259655652864 is an apocalyptic number.

259655652864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259655652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402185820960).

259655652864 is an abundant number, since it is smaller than the sum of its proper divisors (544715989056).

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

259655652864 is an equidigital number, since it uses as much as digits as its factorization.

259655652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2058 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 63.

The spelling of 259655652864 in words is "two hundred fifty-nine billion, six hundred fifty-five million, six hundred fifty-two thousand, eight hundred sixty-four".