42675511557624 has 512 divisors, whose sum is σ = 128050732569600. Its totient is φ = 11699437568000.

The previous prime is 42675511557593. The next prime is 42675511557631.

42675511557624 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51602794699 + ... + 51602795525.

It is an arithmetic number, because the mean of its divisors is an integer number (250099087050).

Almost surely, 2^{42675511557624} is an apocalyptic number.

42675511557624 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 42675511557624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64025366284800).

42675511557624 is an abundant number, since it is smaller than the sum of its proper divisors (85375221011976).

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

42675511557624 is a wasteful number, since it uses less digits than its factorization.

42675511557624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2171 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 60.

The spelling of 42675511557624 in words is "forty-two trillion, six hundred seventy-five billion, five hundred eleven million, five hundred fifty-seven thousand, six hundred twenty-four".