42520855872 has 672 divisors, whose sum is σ = 141968719872. Its totient is φ = 11151360000.

The previous prime is 42520855843. The next prime is 42520855879. The reversal of 42520855872 is 27855802524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42520855879) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281594997 + ... + 281595147.

It is an arithmetic number, because the mean of its divisors is an integer number (211262976).

Almost surely, 2^42520855872 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 42520855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70984359936).

42520855872 is an abundant number, since it is smaller than the sum of its proper divisors (99447864000).

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

42520855872 is a wasteful number, since it uses less digits than its factorization.

42520855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 48.

The spelling of 42520855872 in words is "forty-two billion, five hundred twenty million, eight hundred fifty-five thousand, eight hundred seventy-two".