259575575952 has 160 divisors (see below), whose sum is σ = 836739302400. Its totient is φ = 67365480960.

The previous prime is 259575575951. The next prime is 259575575977.

259575575952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (259575575951) 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, 4454299 + ... + 4512197.

It is an arithmetic number, because the mean of its divisors is an integer number (5229620640).

Almost surely, 2^259575575952 is an apocalyptic number.

259575575952 is a gapful number since it is divisible by the number (22) 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 259575575952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418369651200).

259575575952 is an abundant number, since it is smaller than the sum of its proper divisors (577163726448).

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

259575575952 is a wasteful number, since it uses less digits than its factorization.

259575575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59141 (or 59135 counting only the distinct ones).

The product of its digits is 248062500, while the sum is 66.

The spelling of 259575575952 in words is "two hundred fifty-nine billion, five hundred seventy-five million, five hundred seventy-five thousand, nine hundred fifty-two".