58287340800 has 1134 divisors, whose sum is σ = 240702189126. Its totient is φ = 13884825600.

The previous prime is 58287340759. The next prime is 58287340817. The reversal of 58287340800 is 804378285.

It can be written as a sum of positive squares in 3 ways, for example, as 179345664 + 58107995136 = 13392^2 + 241056^2 .

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 125 ways as a sum of consecutive naturals, for example, 1880236785 + ... + 1880236815.

Almost surely, 2^58287340800 is an apocalyptic number.

58287340800 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 58287340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120351094563).

58287340800 is an abundant number, since it is smaller than the sum of its proper divisors (182414848326).

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

58287340800 is an equidigital number, since it uses as much as digits as its factorization.

58287340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

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

The spelling of 58287340800 in words is "fifty-eight billion, two hundred eighty-seven million, three hundred forty thousand, eight hundred".