60312265728 has 528 divisors, whose sum is σ = 194193158400. Its totient is φ = 16491970560.

The previous prime is 60312265721. The next prime is 60312265747. The reversal of 60312265728 is 82756221306.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 60312265728.

It is not an unprimeable number, because it can be changed into a prime (60312265721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336939943 + ... + 336940121.

Almost surely, 2^60312265728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60312265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97096579200).

60312265728 is an abundant number, since it is smaller than the sum of its proper divisors (133880892672).

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

60312265728 is a wasteful number, since it uses less digits than its factorization.

60312265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 60312265728 in words is "sixty billion, three hundred twelve million, two hundred sixty-five thousand, seven hundred twenty-eight".