259954168320 has 1600 divisors, whose sum is σ = 1182993140736. Its totient is φ = 53210234880.

The previous prime is 259954168319. The next prime is 259954168349. The reversal of 259954168320 is 23861459952.

259954168320 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 541 + 68 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3879912927 + ... + 3879912993.

Almost surely, 2^259954168320 is an apocalyptic number.

259954168320 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 259954168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591496570368).

259954168320 is an abundant number, since it is smaller than the sum of its proper divisors (923038972416).

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

259954168320 is an frugal number, since it uses more digits than its factorization.

259954168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 259954168320 in words is "two hundred fifty-nine billion, nine hundred fifty-four million, one hundred sixty-eight thousand, three hundred twenty".