42082530996528 has 720 divisors, whose sum is σ = 134861972114688. Its totient is φ = 12227496652800.

The previous prime is 42082530996421. The next prime is 42082530996547. The reversal of 42082530996528 is 82569903528024.

42082530996528 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 2 + 530 + 9 + 96 + 5 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57411365250 + ... + 57411365982.

Almost surely, 2^{42082530996528} is an apocalyptic number.

42082530996528 is a gapful number since it is divisible by the number (48) 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 42082530996528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67430986057344).

42082530996528 is an abundant number, since it is smaller than the sum of its proper divisors (92779441118160).

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

42082530996528 is a wasteful number, since it uses less digits than its factorization.

42082530996528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 42082530996528 in words is "forty-two trillion, eighty-two billion, five hundred thirty million, nine hundred ninety-six thousand, five hundred twenty-eight".