60287736960 has 288 divisors, whose sum is σ = 228829795740. Its totient is φ = 14615040000.

The previous prime is 60287736959. The next prime is 60287736997. The reversal of 60287736960 is 6963778206.

It can be written as a sum of positive squares in 2 ways, for example, as 58862523456 + 1425213504 = 242616^2 + 37752^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×60287736960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60287736897 and 60287736906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 653710 + ... + 740210.

Almost surely, 2^60287736960 is an apocalyptic number.

60287736960 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 60287736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114414897870).

60287736960 is an abundant number, since it is smaller than the sum of its proper divisors (168542058780).

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

60287736960 is a wasteful number, since it uses less digits than its factorization.

60287736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86548 (or 86522 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 60287736960 in words is "sixty billion, two hundred eighty-seven million, seven hundred thirty-six thousand, nine hundred sixty".