258048778008 has 192 divisors, whose sum is σ = 798827184000. Its totient is φ = 69062450688.

The previous prime is 258048777971. The next prime is 258048778021. The reversal of 258048778008 is 800877840852.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 1923735 + ... + 2053497.

It is an arithmetic number, because the mean of its divisors is an integer number (4160558250).

Almost surely, 2^258048778008 is an apocalyptic number.

258048778008 is a gapful number since it is divisible by the number (28) 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 258048778008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399413592000).

258048778008 is an abundant number, since it is smaller than the sum of its proper divisors (540778405992).

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

258048778008 is a wasteful number, since it uses less digits than its factorization.

258048778008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129894 (or 129883 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 57.

The spelling of 258048778008 in words is "two hundred fifty-eight billion, forty-eight million, seven hundred seventy-eight thousand, eight".