258583153920 has 2304 divisors, whose sum is σ = 1186762752000. Its totient is φ = 46374322176.

The previous prime is 258583153909. The next prime is 258583153943. The reversal of 258583153920 is 29351385852.

It is a super-2 number, since 2×258583153920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3273204441 + ... + 3273204519.

It is an arithmetic number, because the mean of its divisors is an integer number (515088000).

Almost surely, 2^258583153920 is an apocalyptic number.

258583153920 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 258583153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593381376000).

258583153920 is an abundant number, since it is smaller than the sum of its proper divisors (928179598080).

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

258583153920 is a wasteful number, since it uses less digits than its factorization.

258583153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 258583153920 in words is "two hundred fifty-eight billion, five hundred eighty-three million, one hundred fifty-three thousand, nine hundred twenty".