58480948019200 has 864 divisors, whose sum is σ = 171006154905600. Its totient is φ = 19425688289280.

The previous prime is 58480948019173. The next prime is 58480948019231. The reversal of 58480948019200 is 291084908485.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106912153327 + ... + 106912153873.

It is an arithmetic number, because the mean of its divisors is an integer number (197923790400).

Almost surely, 2^{58480948019200} is an apocalyptic number.

58480948019200 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 58480948019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503077452800).

58480948019200 is an abundant number, since it is smaller than the sum of its proper divisors (112525206886400).

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

58480948019200 is an frugal number, since it uses more digits than its factorization.

58480948019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 58480948019200 in words is "fifty-eight trillion, four hundred eighty billion, nine hundred forty-eight million, nineteen thousand, two hundred".