258902827040 has 384 divisors, whose sum is σ = 737871773184. Its totient is φ = 84602880000.

The previous prime is 258902827021. The next prime is 258902827049. The reversal of 258902827040 is 40728209852.

It is not an unprimeable number, because it can be changed into a prime (258902827049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143754140 + ... + 143755940.

It is an arithmetic number, because the mean of its divisors is an integer number (1921541076).

Almost surely, 2^258902827040 is an apocalyptic number.

258902827040 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 258902827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368935886592).

258902827040 is an abundant number, since it is smaller than the sum of its proper divisors (478968946144).

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

258902827040 is a wasteful number, since it uses less digits than its factorization.

258902827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 258902827040 in words is "two hundred fifty-eight billion, nine hundred two million, eight hundred twenty-seven thousand, forty".