258965521920 has 480 divisors, whose sum is σ = 1052721603648. Its totient is φ = 57591005184.

The previous prime is 258965521889. The next prime is 258965521921. The reversal of 258965521920 is 29125569852.

258965521920 is a `hidden beast` number, since 2 + 5 + 8 + 96 + 5 + 521 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258965521921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5945662 + ... + 5989058.

Almost surely, 2^258965521920 is an apocalyptic number.

258965521920 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 258965521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526360801824).

258965521920 is an abundant number, since it is smaller than the sum of its proper divisors (793756081728).

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

258965521920 is a wasteful number, since it uses less digits than its factorization.

258965521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43470 (or 43451 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 258965521920 in words is "two hundred fifty-eight billion, nine hundred sixty-five million, five hundred twenty-one thousand, nine hundred twenty".