259153922048 has 108 divisors (see below), whose sum is σ = 603157664655. Its totient is φ = 110996852736.

The previous prime is 259153922039. The next prime is 259153922051. The reversal of 259153922048 is 840229351952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 129576961024 + 129576961024 = 359968^2 + 359968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=359968.

It is a junction number, because it is equal to n+sod(n) for n = 259153921987 and 259153922005.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161264861 + ... + 161266467.

Almost surely, 2^259153922048 is an apocalyptic number.

259153922048 is a gapful number since it is divisible by the number (28) 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 259153922048

259153922048 is an abundant number, since it is smaller than the sum of its proper divisors (344003742607).

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

259153922048 is an frugal number, since it uses more digits than its factorization.

259153922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

Multiplying 259153922048 by its sum of digits (50), we get a square (12957696102400 = 3599680²).

The spelling of 259153922048 in words is "two hundred fifty-nine billion, one hundred fifty-three million, nine hundred twenty-two thousand, forty-eight".