258404125346400 has 288 divisors, whose sum is σ = 932611687531776. Its totient is φ = 61616482560000.

The previous prime is 258404125346387. The next prime is 258404125346413. The reversal of 258404125346400 is 4643521404852.

It is an interprime number because it is at equal distance from previous prime (258404125346387) and next prime (258404125346413).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 258404125346400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78619396 + ... + 81840195.

It is an arithmetic number, because the mean of its divisors is an integer number (3238235026152).

Almost surely, 2^{258404125346400} is an apocalyptic number.

258404125346400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258404125346400 is an abundant number, since it is smaller than the sum of its proper divisors (674207562185376).

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

258404125346400 is a wasteful number, since it uses less digits than its factorization.

258404125346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160459686 (or 160459673 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 258404125346400 in words is "two hundred fifty-eight trillion, four hundred four billion, one hundred twenty-five million, three hundred forty-six thousand, four hundred".