258442467360000 has 4320 divisors, whose sum is σ = 1163874408770304. Its totient is φ = 49633689600000.

The previous prime is 258442467359981. The next prime is 258442467360029. The reversal of 258442467360000 is 63764244852.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 421602719694 + ... + 421602720306.

Almost surely, 2^{258442467360000} is an apocalyptic number.

258442467360000 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 258442467360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581937204385152).

258442467360000 is an abundant number, since it is smaller than the sum of its proper divisors (905431941410304).

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

258442467360000 is a wasteful number, since it uses less digits than its factorization.

258442467360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 258442467360000 in words is "two hundred fifty-eight trillion, four hundred forty-two billion, four hundred sixty-seven million, three hundred sixty thousand".