258094049004 has 504 divisors, whose sum is σ = 805947770880. Its totient is φ = 71604129600.

The previous prime is 258094048987. The next prime is 258094049009. The reversal of 258094049004 is 400940490852.

It is a super-2 number, since 2×258094049004² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258094049009) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 358962157 + ... + 358962875.

It is an arithmetic number, because the mean of its divisors is an integer number (1599102720).

Almost surely, 2^258094049004 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 258094049004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402973885440).

258094049004 is an abundant number, since it is smaller than the sum of its proper divisors (547853721876).

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

258094049004 is a wasteful number, since it uses less digits than its factorization.

258094049004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 258094049004 in words is "two hundred fifty-eight billion, ninety-four million, forty-nine thousand, four".