258482919974400 has 2880 divisors, whose sum is σ = 1050363786700800. Its totient is φ = 60167710310400.

The previous prime is 258482919974359. The next prime is 258482919974407. The reversal of 258482919974400 is 4479919284852.

258482919974400 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 8 + 2 + 91 + 9 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258482919974407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1298909145501 + ... + 1298909145699.

It is an arithmetic number, because the mean of its divisors is an integer number (364709648160).

Almost surely, 2^{258482919974400} is an apocalyptic number.

258482919974400 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 258482919974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525181893350400).

258482919974400 is an abundant number, since it is smaller than the sum of its proper divisors (791880866726400).

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

258482919974400 is a wasteful number, since it uses less digits than its factorization.

258482919974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 258482919974400 in words is "two hundred fifty-eight trillion, four hundred eighty-two billion, nine hundred nineteen million, nine hundred seventy-four thousand, four hundred".