259201320840 has 1536 divisors, whose sum is σ = 1179389030400. Its totient is φ = 49015480320.

The previous prime is 259201320787. The next prime is 259201320871. The reversal of 259201320840 is 48023102952.

It is a happy number.

259201320840 is a `hidden beast` number, since 2 + 59 + 201 + 320 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259201320795 and 259201320804.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3122907439 + ... + 3122907521.

It is an arithmetic number, because the mean of its divisors is an integer number (767831400).

Almost surely, 2^259201320840 is an apocalyptic number.

259201320840 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 259201320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589694515200).

259201320840 is an abundant number, since it is smaller than the sum of its proper divisors (920187709560).

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

259201320840 is a wasteful number, since it uses less digits than its factorization.

259201320840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 259201320840 in words is "two hundred fifty-nine billion, two hundred one million, three hundred twenty thousand, eight hundred forty".