258990912360 has 192 divisors, whose sum is σ = 870704640000. Its totient is φ = 66695454720.

The previous prime is 258990912353. The next prime is 258990912431. The reversal of 258990912360 is 63219099852.

It is a happy number.

258990912360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 258990912297 and 258990912306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5321416 + ... + 5369864.

It is an arithmetic number, because the mean of its divisors is an integer number (4534920000).

Almost surely, 2^258990912360 is an apocalyptic number.

258990912360 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 258990912360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435352320000).

258990912360 is an abundant number, since it is smaller than the sum of its proper divisors (611713727640).

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

258990912360 is a wasteful number, since it uses less digits than its factorization.

258990912360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48976 (or 48969 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 258990912360 in words is "two hundred fifty-eight billion, nine hundred ninety million, nine hundred twelve thousand, three hundred sixty".