258730088400 has 720 divisors, whose sum is σ = 1059788585856. Its totient is φ = 57224724480.

The previous prime is 258730088377. The next prime is 258730088429. The reversal of 258730088400 is 4880037852.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 122445744 + ... + 122447856.

Almost surely, 2^258730088400 is an apocalyptic number.

258730088400 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 258730088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529894292928).

258730088400 is an abundant number, since it is smaller than the sum of its proper divisors (801058497456).

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

258730088400 is a wasteful number, since it uses less digits than its factorization.

258730088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 258730088400 in words is "two hundred fifty-eight billion, seven hundred thirty million, eighty-eight thousand, four hundred".