42549478560 has 576 divisors, whose sum is σ = 158803182720. Its totient is φ = 10338140160.

The previous prime is 42549478523. The next prime is 42549478583. The reversal of 42549478560 is 6587494524.

42549478560 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 9 + 4 + 78 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42549478497 and 42549478506.

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 95 ways as a sum of consecutive naturals, for example, 93105852 + ... + 93106308.

It is an arithmetic number, because the mean of its divisors is an integer number (275699970).

Almost surely, 2^42549478560 is an apocalyptic number.

42549478560 is a gapful number since it is divisible by the number (40) 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 42549478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79401591360).

42549478560 is an abundant number, since it is smaller than the sum of its proper divisors (116253704160).

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

42549478560 is a wasteful number, since it uses less digits than its factorization.

42549478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42549478560 in words is "forty-two billion, five hundred forty-nine million, four hundred seventy-eight thousand, five hundred sixty".