60481728000 has 480 divisors, whose sum is σ = 225970224480. Its totient is φ = 16124313600.

The previous prime is 60481727923. The next prime is 60481728031. The reversal of 60481728000 is 82718406.

60481728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15550056 + ... + 15553944.

It is an arithmetic number, because the mean of its divisors is an integer number (470771301).

Almost surely, 2^60481728000 is an apocalyptic number.

60481728000 is a gapful number since it is divisible by the number (60) 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 60481728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112985112240).

60481728000 is an abundant number, since it is smaller than the sum of its proper divisors (165488496480).

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

60481728000 is an frugal number, since it uses more digits than its factorization.

60481728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 60481728000 in words is "sixty billion, four hundred eighty-one million, seven hundred twenty-eight thousand".