259645988700864 has 1120 divisors, whose sum is σ = 856095986015424. Its totient is φ = 77470598430720.

The previous prime is 259645988700853. The next prime is 259645988700953. The reversal of 259645988700864 is 468007889546952.

259645988700864 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 459 + 8 + 87 + 0 + 0 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23482493224 + ... + 23482504280.

Almost surely, 2^{259645988700864} is an apocalyptic number.

259645988700864 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 259645988700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428047993007712).

259645988700864 is an abundant number, since it is smaller than the sum of its proper divisors (596449997314560).

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

259645988700864 is a wasteful number, since it uses less digits than its factorization.

259645988700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 8360755200, while the sum is 81.

The spelling of 259645988700864 in words is "two hundred fifty-nine trillion, six hundred forty-five billion, nine hundred eighty-eight million, seven hundred thousand, eight hundred sixty-four".