42599597760 has 560 divisors, whose sum is σ = 159403243296. Its totient is φ = 10785374208.

The previous prime is 42599597759. The next prime is 42599597771. The reversal of 42599597760 is 6779599524.

42599597760 is a `hidden beast` number, since 425 + 99 + 59 + 7 + 76 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41238204 + ... + 41239236.

Almost surely, 2^42599597760 is an apocalyptic number.

42599597760 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 42599597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79701621648).

42599597760 is an abundant number, since it is smaller than the sum of its proper divisors (116803645536).

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

42599597760 is a wasteful number, since it uses less digits than its factorization.

42599597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 42599597760 in words is "forty-two billion, five hundred ninety-nine million, five hundred ninety-seven thousand, seven hundred sixty".