258025098240 has 2112 divisors, whose sum is σ = 1189693080576. Its totient is φ = 52171112448.

The previous prime is 258025098217. The next prime is 258025098257. The reversal of 258025098240 is 42890520852.

258025098240 is a `hidden beast` number, since 2 + 580 + 25 + 0 + 9 + 8 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4868398054 + ... + 4868398106.

It is an arithmetic number, because the mean of its divisors is an integer number (563301648).

Almost surely, 2^258025098240 is an apocalyptic number.

258025098240 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 258025098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594846540288).

258025098240 is an abundant number, since it is smaller than the sum of its proper divisors (931667982336).

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

258025098240 is a wasteful number, since it uses less digits than its factorization.

258025098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 258025098240 in words is "two hundred fifty-eight billion, twenty-five million, ninety-eight thousand, two hundred forty".