259920264240 has 480 divisors, whose sum is σ = 1100551810176. Its totient is φ = 53502197760.

The previous prime is 259920264239. The next prime is 259920264277. The reversal of 259920264240 is 42462029952.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2637942 + ... + 2734698.

Almost surely, 2^259920264240 is an apocalyptic number.

259920264240 is a gapful number since it is divisible by the number (20) 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 259920264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550275905088).

259920264240 is an abundant number, since it is smaller than the sum of its proper divisors (840631545936).

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

259920264240 is a wasteful number, since it uses less digits than its factorization.

259920264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96837 (or 96828 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 259920264240 in words is "two hundred fifty-nine billion, nine hundred twenty million, two hundred sixty-four thousand, two hundred forty".