42548794560 has 672 divisors, whose sum is σ = 165089433600. Its totient is φ = 10391224320.

The previous prime is 42548794559. The next prime is 42548794571. The reversal of 42548794560 is 6549784524.

42548794560 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 8 + 79 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42548794497 and 42548794506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45800176 + ... + 45801104.

It is an arithmetic number, because the mean of its divisors is an integer number (245668800).

Almost surely, 2^42548794560 is an apocalyptic number.

42548794560 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 42548794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82544716800).

42548794560 is an abundant number, since it is smaller than the sum of its proper divisors (122540639040).

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

42548794560 is a wasteful number, since it uses less digits than its factorization.

42548794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 989 counting only the distinct ones).

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

The spelling of 42548794560 in words is "forty-two billion, five hundred forty-eight million, seven hundred ninety-four thousand, five hundred sixty".