42053590656 has 864 divisors, whose sum is σ = 159230111040. Its totient is φ = 10608998400.

The previous prime is 42053590651. The next prime is 42053590681. The reversal of 42053590656 is 65609535024.

42053590656 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 3 + 590 + 6 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (42053590651) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 321019711 + ... + 321019841.

It is an arithmetic number, because the mean of its divisors is an integer number (184294110).

Almost surely, 2^42053590656 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 42053590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79615055520).

42053590656 is an abundant number, since it is smaller than the sum of its proper divisors (117176520384).

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

42053590656 is a wasteful number, since it uses less digits than its factorization.

42053590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 42053590656 in words is "forty-two billion, fifty-three million, five hundred ninety thousand, six hundred fifty-six".