42570597168 has 400 divisors, whose sum is σ = 138815927712. Its totient is φ = 12483072000.

The previous prime is 42570597151. The next prime is 42570597187. The reversal of 42570597168 is 86179507524.

42570597168 is a `hidden beast` number, since 4 + 2 + 570 + 5 + 9 + 7 + 1 + 68 = 666.

42570597168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 101117598 + ... + 101118018.

Almost surely, 2^42570597168 is an apocalyptic number.

42570597168 is a gapful number since it is divisible by the number (48) 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 42570597168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69407963856).

42570597168 is an abundant number, since it is smaller than the sum of its proper divisors (96245330544).

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

42570597168 is a wasteful number, since it uses less digits than its factorization.

42570597168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 42570597168 in words is "forty-two billion, five hundred seventy million, five hundred ninety-seven thousand, one hundred sixty-eight".