42532570080 has 1152 divisors, whose sum is σ = 205265249280. Its totient is φ = 7723745280.

The previous prime is 42532570057. The next prime is 42532570081. The reversal of 42532570080 is 8007523524.

42532570080 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 2 + 570 + 0 + 80 = 666.

It is a super-2 number, since 2×42532570080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532570081) 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 191 ways as a sum of consecutive naturals, for example, 27386584 + ... + 27388136.

It is an arithmetic number, because the mean of its divisors is an integer number (178181640).

Almost surely, 2^42532570080 is an apocalyptic number.

42532570080 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 42532570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102632624640).

42532570080 is an abundant number, since it is smaller than the sum of its proper divisors (162732679200).

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

42532570080 is a wasteful number, since it uses less digits than its factorization.

42532570080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 42532570080 in words is "forty-two billion, five hundred thirty-two million, five hundred seventy thousand, eighty".