258394746120 has 384 divisors, whose sum is σ = 938622090240. Its totient is φ = 55736916480.

The previous prime is 258394746107. The next prime is 258394746151. The reversal of 258394746120 is 21647493852.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 85815415 + ... + 85818425.

It is an arithmetic number, because the mean of its divisors is an integer number (2444328360).

It is a 1-persistent number, because it is pandigital, but 2⋅258394746120 = 516789492240 is not.

Almost surely, 2^258394746120 is an apocalyptic number.

258394746120 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 258394746120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469311045120).

258394746120 is an abundant number, since it is smaller than the sum of its proper divisors (680227344120).

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

258394746120 is a wasteful number, since it uses less digits than its factorization.

258394746120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 258394746120 in words is "two hundred fifty-eight billion, three hundred ninety-four million, seven hundred forty-six thousand, one hundred twenty".