42528188182524 has 192 divisors, whose sum is σ = 110763342853632. Its totient is φ = 12592240128000.

The previous prime is 42528188182463. The next prime is 42528188182531.

It is a happy number.

42528188182524 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1036822464 + ... + 1036863480.

It is an arithmetic number, because the mean of its divisors is an integer number (576892410696).

Almost surely, 2^{42528188182524} is an apocalyptic number.

42528188182524 is a gapful number since it is divisible by the number (44) 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 42528188182524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55381671426816).

42528188182524 is an abundant number, since it is smaller than the sum of its proper divisors (68235154671108).

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

42528188182524 is a wasteful number, since it uses less digits than its factorization.

42528188182524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42156 (or 42154 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 60.

The spelling of 42528188182524 in words is "forty-two trillion, five hundred twenty-eight billion, one hundred eighty-eight million, one hundred eighty-two thousand, five hundred twenty-four".