58063139332800 has 672 divisors, whose sum is σ = 222331624627200. Its totient is φ = 13260854476800.

The previous prime is 58063139332789. The next prime is 58063139332801. The reversal of 58063139332800 is 823393136085.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (58063139332801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2135367205 + ... + 2135394395.

Almost surely, 2^{58063139332800} is an apocalyptic number.

58063139332800 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 58063139332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111165812313600).

58063139332800 is an abundant number, since it is smaller than the sum of its proper divisors (164268485294400).

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

58063139332800 is a wasteful number, since it uses less digits than its factorization.

58063139332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28534 (or 28505 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 58063139332800 in words is "fifty-eight trillion, sixty-three billion, one hundred thirty-nine million, three hundred thirty-two thousand, eight hundred".