42686006510 has 96 divisors (see below), whose sum is σ = 92374424352. Its totient is φ = 14151137280.

The previous prime is 42686006501. The next prime is 42686006527. The reversal of 42686006510 is 1560068624.

It is a super-3 number, since 3×42686006510³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2260769 + ... + 2279571.

It is an arithmetic number, because the mean of its divisors is an integer number (962233587).

Almost surely, 2^42686006510 is an apocalyptic number.

42686006510 is an abundant number, since it is smaller than the sum of its proper divisors (49688417842).

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

42686006510 is a wasteful number, since it uses less digits than its factorization.

42686006510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18978 (or 18971 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 42686006510 in words is "forty-two billion, six hundred eighty-six million, six thousand, five hundred ten".