42809788560 has 320 divisors, whose sum is σ = 165787674624. Its totient is φ = 8877772800.

The previous prime is 42809788559. The next prime is 42809788601. The reversal of 42809788560 is 6588790824.

It is a self number, because there is not a number n which added to its sum of digits gives 42809788560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10550052 + ... + 10554108.

Almost surely, 2^42809788560 is an apocalyptic number.

42809788560 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 42809788560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82893837312).

42809788560 is an abundant number, since it is smaller than the sum of its proper divisors (122977886064).

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

42809788560 is a wasteful number, since it uses less digits than its factorization.

42809788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 42809788560 in words is "forty-two billion, eight hundred nine million, seven hundred eighty-eight thousand, five hundred sixty".