258698905920 has 896 divisors, whose sum is σ = 1136167603200. Its totient is φ = 53954740224.

The previous prime is 258698905919. The next prime is 258698905943. The reversal of 258698905920 is 29509896852.

It is a super-2 number, since 2×258698905920² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69973512 + ... + 69977208.

It is an arithmetic number, because the mean of its divisors is an integer number (1268044200).

Almost surely, 2^258698905920 is an apocalyptic number.

258698905920 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 258698905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568083801600).

258698905920 is an abundant number, since it is smaller than the sum of its proper divisors (877468697280).

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

258698905920 is a wasteful number, since it uses less digits than its factorization.

258698905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 258698905920 in words is "two hundred fifty-eight billion, six hundred ninety-eight million, nine hundred five thousand, nine hundred twenty".