258384885120 has 512 divisors, whose sum is σ = 1005187968000. Its totient is φ = 62436261888.

The previous prime is 258384885107. The next prime is 258384885137. The reversal of 258384885120 is 21588483852.

258384885120 is a `hidden beast` number, since 2 + 5 + 8 + 38 + 488 + 5 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7534252 + ... + 7568468.

It is an arithmetic number, because the mean of its divisors is an integer number (1963257750).

Almost surely, 2^258384885120 is an apocalyptic number.

258384885120 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 258384885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502593984000).

258384885120 is an abundant number, since it is smaller than the sum of its proper divisors (746803082880).

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

258384885120 is a wasteful number, since it uses less digits than its factorization.

258384885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34287 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 258384885120 in words is "two hundred fifty-eight billion, three hundred eighty-four million, eight hundred eighty-five thousand, one hundred twenty".