58080019200 has 216 divisors, whose sum is σ = 219058979328. Its totient is φ = 13275402240.

The previous prime is 58080019177. The next prime is 58080019229. The reversal of 58080019200 is 291008085.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81672 + ... + 350471.

Almost surely, 2^58080019200 is an apocalyptic number.

58080019200 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 58080019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109529489664).

58080019200 is an abundant number, since it is smaller than the sum of its proper divisors (160978960128).

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

58080019200 is a wasteful number, since it uses less digits than its factorization.

58080019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432179 (or 432160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

It can be divided in two parts, 580800 and 19200, that multiplied together give a square (11151360000 = 105600²).

The spelling of 58080019200 in words is "fifty-eight billion, eighty million, nineteen thousand, two hundred".