258906732480 has 448 divisors, whose sum is σ = 1028552232960. Its totient is φ = 60739891200.

The previous prime is 258906732479. The next prime is 258906732559. The reversal of 258906732480 is 84237609852.

258906732480 is a `hidden beast` number, since 2 + 5 + 8 + 90 + 6 + 73 + 2 + 480 = 666.

It is a super-2 number, since 2×258906732480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2902302 + ... + 2990178.

It is an arithmetic number, because the mean of its divisors is an integer number (2295875520).

Almost surely, 2^258906732480 is an apocalyptic number.

258906732480 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 258906732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514276116480).

258906732480 is an abundant number, since it is smaller than the sum of its proper divisors (769645500480).

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

258906732480 is a wasteful number, since it uses less digits than its factorization.

258906732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87945 (or 87929 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 258906732480 in words is "two hundred fifty-eight billion, nine hundred six million, seven hundred thirty-two thousand, four hundred eighty".