42292535616 has 224 divisors, whose sum is σ = 126770140160. Its totient is φ = 13822617600.

The previous prime is 42292535609. The next prime is 42292535617. The reversal of 42292535616 is 61653529224.

42292535616 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 25 + 3 + 5 + 616 = 666.

Its product of digits (777600) is a multiple of the sum of its prime factors (1350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42292535617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63982326 + ... + 63982986.

Almost surely, 2^42292535616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42292535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63385070080).

42292535616 is an abundant number, since it is smaller than the sum of its proper divisors (84477604544).

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

42292535616 is a wasteful number, since it uses less digits than its factorization.

42292535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1334 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 42292535616 in words is "forty-two billion, two hundred ninety-two million, five hundred thirty-five thousand, six hundred sixteen".