259596707695952 has 40 divisors (see below), whose sum is σ = 549546374385120. Its totient is φ = 117814990999680.

The previous prime is 259596707695943. The next prime is 259596707695957.

259596707695952 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259596707695957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146839627 + ... + 1147065962.

It is an arithmetic number, because the mean of its divisors is an integer number (13738659359628).

Almost surely, 2^{259596707695952} is an apocalyptic number.

259596707695952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

259596707695952 is an abundant number, since it is smaller than the sum of its proper divisors (289949666689168).

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

259596707695952 is a wasteful number, since it uses less digits than its factorization.

259596707695952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293906251 (or 2293906245 counting only the distinct ones).

The product of its (nonzero) digits is 28934010000, while the sum is 86.

The spelling of 259596707695952 in words is "two hundred fifty-nine trillion, five hundred ninety-six billion, seven hundred seven million, six hundred ninety-five thousand, nine hundred fifty-two".