258087928320 has 560 divisors, whose sum is σ = 950695448472. Its totient is φ = 67124920320.

The previous prime is 258087928313. The next prime is 258087928327. The reversal of 258087928320 is 23829780852.

It is a happy number.

258087928320 is a `hidden beast` number, since 2 + 580 + 8 + 7 + 9 + 28 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258087928313) and next prime (258087928327).

It can be written as a sum of positive squares in 4 ways, for example, as 218081528064 + 40006400256 = 466992^2 + 200016^2 .

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 (258087928327) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76514154 + ... + 76517526.

Almost surely, 2^258087928320 is an apocalyptic number.

258087928320 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 258087928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475347724236).

258087928320 is an abundant number, since it is smaller than the sum of its proper divisors (692607520152).

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

258087928320 is an frugal number, since it uses more digits than its factorization.

258087928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 258087928320 in words is "two hundred fifty-eight billion, eighty-seven million, nine hundred twenty-eight thousand, three hundred twenty".