60825846042 has 96 divisors (see below), whose sum is σ = 149479948800. Its totient is φ = 17720747136.

The previous prime is 60825846019. The next prime is 60825846073. The reversal of 60825846042 is 24064852806.

60825846042 is a `hidden beast` number, since 6 + 0 + 8 + 2 + 584 + 60 + 4 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12931063 + ... + 12935765.

It is an arithmetic number, because the mean of its divisors is an integer number (1557082800).

Almost surely, 2^60825846042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60825846042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74739974400).

60825846042 is an abundant number, since it is smaller than the sum of its proper divisors (88654102758).

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

60825846042 is a wasteful number, since it uses less digits than its factorization.

60825846042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 60825846042 in words is "sixty billion, eight hundred twenty-five million, eight hundred forty-six thousand, forty-two".