258056409600 has 1500 divisors, whose sum is σ = 1112387069970. Its totient is φ = 58879180800.

The previous prime is 258056409587. The next prime is 258056409619. The reversal of 258056409600 is 6904650852.

258056409600 is a `hidden beast` number, since 2 + 5 + 80 + 564 + 0 + 9 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 221321320704 + 36735088896 = 470448^2 + 191664^2 .

It is a super-2 number, since 2×258056409600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 15179788792 + ... + 15179788808.

Almost surely, 2^258056409600 is an apocalyptic number.

258056409600 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 258056409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556193534985).

258056409600 is an abundant number, since it is smaller than the sum of its proper divisors (854330660370).

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

258056409600 is an frugal number, since it uses more digits than its factorization.

258056409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

258056409600 divided by its product of nonzero digits (518400) gives a palindrome (497794).

The spelling of 258056409600 in words is "two hundred fifty-eight billion, fifty-six million, four hundred nine thousand, six hundred".