258041463976800 has 2304 divisors, whose sum is σ = 1143517210214400. Its totient is φ = 54914253004800.

The previous prime is 258041463976799. The next prime is 258041463976843. The reversal of 258041463976800 is 8679364140852.

258041463976800 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 4 + 1 + 463 + 97 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12997595674 + ... + 12997615526.

It is an arithmetic number, because the mean of its divisors is an integer number (496318233600).

It is a 1-persistent number, because it is pandigital, but 2⋅258041463976800 = 516082927953600 is not.

Almost surely, 2^{258041463976800} is an apocalyptic number.

258041463976800 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 258041463976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571758605107200).

258041463976800 is an abundant number, since it is smaller than the sum of its proper divisors (885475746237600).

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

258041463976800 is a wasteful number, since it uses less digits than its factorization.

258041463976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 258041463976800 in words is "two hundred fifty-eight trillion, forty-one billion, four hundred sixty-three million, nine hundred seventy-six thousand, eight hundred".