258380478720 has 1152 divisors, whose sum is σ = 1167807513600. Its totient is φ = 52617019392.

The previous prime is 258380478689. The next prime is 258380478721. The reversal of 258380478720 is 27874083852.

258380478720 is a `hidden beast` number, since 25 + 8 + 3 + 80 + 478 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (258380478721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91202424 + ... + 91205256.

It is an arithmetic number, because the mean of its divisors is an integer number (1013721800).

Almost surely, 2^258380478720 is an apocalyptic number.

258380478720 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 258380478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583903756800).

258380478720 is an abundant number, since it is smaller than the sum of its proper divisors (909427034880).

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

258380478720 is a wasteful number, since it uses less digits than its factorization.

258380478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 258380478720 in words is "two hundred fifty-eight billion, three hundred eighty million, four hundred seventy-eight thousand, seven hundred twenty".