60315580032 has 128 divisors (see below), whose sum is σ = 175110336000. Its totient is φ = 18312069120.

The previous prime is 60315579967. The next prime is 60315580037. The reversal of 60315580032 is 23008551306.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 60315579975 and 60315580002.

It is not an unprimeable number, because it can be changed into a prime (60315580037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53344 + ... + 351392.

It is an arithmetic number, because the mean of its divisors is an integer number (1368049500).

Almost surely, 2^60315580032 is an apocalyptic number.

60315580032 is a gapful number since it is divisible by the number (62) 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 60315580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87555168000).

60315580032 is an abundant number, since it is smaller than the sum of its proper divisors (114794755968).

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

60315580032 is a wasteful number, since it uses less digits than its factorization.

60315580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298114 (or 298102 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 60315580032 in words is "sixty billion, three hundred fifteen million, five hundred eighty thousand, thirty-two".