58255982400 has 1512 divisors, whose sum is σ = 257872870080. Its totient is φ = 11448729600.

The previous prime is 58255982363. The next prime is 58255982419. The reversal of 58255982400 is 428955285.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58255982400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 654561556 + ... + 654561644.

It is an arithmetic number, because the mean of its divisors is an integer number (170550840).

Almost surely, 2^58255982400 is an apocalyptic number.

58255982400 is a gapful number since it is divisible by the number (50) 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 58255982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128936435040).

58255982400 is an abundant number, since it is smaller than the sum of its proper divisors (199616887680).

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

58255982400 is a wasteful number, since it uses less digits than its factorization.

58255982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 58255982400 in words is "fifty-eight billion, two hundred fifty-five million, nine hundred eighty-two thousand, four hundred".