259541313372 has 144 divisors (see below), whose sum is σ = 740021214240. Its totient is φ = 78605936640.

The previous prime is 259541313331. The next prime is 259541313379. The reversal of 259541313372 is 273313145952.

259541313372 is a `hidden beast` number, since 2 + 5 + 9 + 541 + 3 + 1 + 33 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259541313379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30483388 + ... + 30491900.

It is an arithmetic number, because the mean of its divisors is an integer number (5139036210).

Almost surely, 2^259541313372 is an apocalyptic number.

259541313372 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 259541313372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370010607120).

259541313372 is an abundant number, since it is smaller than the sum of its proper divisors (480479900868).

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

259541313372 is a wasteful number, since it uses less digits than its factorization.

259541313372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10881 (or 10862 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 259541313372 in words is "two hundred fifty-nine billion, five hundred forty-one million, three hundred thirteen thousand, three hundred seventy-two".