42597550080 has 1152 divisors, whose sum is σ = 173861251200. Its totient is φ = 9937354752.

The previous prime is 42597550019. The next prime is 42597550087. The reversal of 42597550080 is 8005579524.

42597550080 is a `hidden beast` number, since 4 + 2 + 5 + 97 + 550 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42597550087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803727334 + ... + 803727386.

It is an arithmetic number, because the mean of its divisors is an integer number (150921225).

Almost surely, 2^42597550080 is an apocalyptic number.

42597550080 is a gapful number since it is divisible by the number (40) 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 42597550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86930625600).

42597550080 is an abundant number, since it is smaller than the sum of its proper divisors (131263701120).

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

42597550080 is a wasteful number, since it uses less digits than its factorization.

42597550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 42597550080 in words is "forty-two billion, five hundred ninety-seven million, five hundred fifty thousand, eighty".