258991729920 has 1728 divisors, whose sum is σ = 1195051253760. Its totient is φ = 50582568960.

The previous prime is 258991729879. The next prime is 258991729973. The reversal of 258991729920 is 29927199852.

258991729920 is a `hidden beast` number, since 2 + 589 + 9 + 1 + 7 + 29 + 9 + 20 = 666.

258991729920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 2039304897 + ... + 2039305023.

Almost surely, 2^258991729920 is an apocalyptic number.

258991729920 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 258991729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597525626880).

258991729920 is an abundant number, since it is smaller than the sum of its proper divisors (936059523840).

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

258991729920 is a wasteful number, since it uses less digits than its factorization.

258991729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 258991729920 in words is "two hundred fifty-eight billion, nine hundred ninety-one million, seven hundred twenty-nine thousand, nine hundred twenty".