258505049088 has 528 divisors, whose sum is σ = 889265534976. Its totient is φ = 71292026880.

The previous prime is 258505049051. The next prime is 258505049107. The reversal of 258505049088 is 880940505852.

It is a happy number.

258505049088 is a `hidden beast` number, since 2 + 5 + 8 + 50 + 504 + 9 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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, 96204481 + ... + 96207167.

Almost surely, 2^258505049088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258505049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444632767488).

258505049088 is an abundant number, since it is smaller than the sum of its proper divisors (630760485888).

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

258505049088 is a wasteful number, since it uses less digits than its factorization.

258505049088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 258505049088 in words is "two hundred fifty-eight billion, five hundred five million, forty-nine thousand, eighty-eight".