58008787200 has 2592 divisors, whose sum is σ = 291251358720. Its totient is φ = 11147673600.

The previous prime is 58008787171. The next prime is 58008787247. The reversal of 58008787200 is 278780085.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 1871251185 + ... + 1871251215.

Almost surely, 2^58008787200 is an apocalyptic number.

58008787200 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 58008787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145625679360).

58008787200 is an abundant number, since it is smaller than the sum of its proper divisors (233242571520).

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

58008787200 is a wasteful number, since it uses less digits than its factorization.

58008787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 58008787200 in words is "fifty-eight billion, eight million, seven hundred eighty-seven thousand, two hundred".