42055526880 has 72 divisors (see below), whose sum is σ = 143514490392. Its totient is φ = 11214806784.

The previous prime is 42055526867. The next prime is 42055526917. The reversal of 42055526880 is 8862555024.

It is a happy number.

42055526880 is a `hidden beast` number, since 42 + 0 + 5 + 5 + 526 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14601174 + ... + 14604053.

It is an arithmetic number, because the mean of its divisors is an integer number (1993256811).

Almost surely, 2^42055526880 is an apocalyptic number.

42055526880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42055526880 is an abundant number, since it is smaller than the sum of its proper divisors (101458963512).

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

42055526880 is a wasteful number, since it uses less digits than its factorization.

42055526880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29205248 (or 29205237 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 42055526880 in words is "forty-two billion, fifty-five million, five hundred twenty-six thousand, eight hundred eighty".