258438420979200 has 7680 divisors, whose sum is σ = 1335192599347200. Its totient is φ = 47266136064000.

The previous prime is 258438420979157. The next prime is 258438420979379. The reversal of 258438420979200 is 2979024834852.

258438420979200 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 38 + 420 + 97 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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 767 ways as a sum of consecutive naturals, for example, 919709683060 + ... + 919709683340.

It is an arithmetic number, because the mean of its divisors is an integer number (173853203040).

Almost surely, 2^{258438420979200} is an apocalyptic number.

258438420979200 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 258438420979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667596299673600).

258438420979200 is an abundant number, since it is smaller than the sum of its proper divisors (1076754178368000).

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

258438420979200 is a wasteful number, since it uses less digits than its factorization.

258438420979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 452 counting only the distinct ones).

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

The spelling of 258438420979200 in words is "two hundred fifty-eight trillion, four hundred thirty-eight billion, four hundred twenty million, nine hundred seventy-nine thousand, two hundred".