42695666659624 has 16 divisors (see below), whose sum is σ = 87332045440320. Its totient is φ = 19407121208880.

The previous prime is 42695666659603. The next prime is 42695666659661.

42695666659624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42695666659624³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242589015024 + ... + 242589015199.

It is an arithmetic number, because the mean of its divisors is an integer number (5458252840020).

Almost surely, 2^{42695666659624} is an apocalyptic number.

42695666659624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42695666659624 is an abundant number, since it is smaller than the sum of its proper divisors (44636378780696).

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

42695666659624 is a wasteful number, since it uses less digits than its factorization.

42695666659624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485178030240 (or 485178030236 counting only the distinct ones).

The product of its digits is 6046617600, while the sum is 76.

The spelling of 42695666659624 in words is "forty-two trillion, six hundred ninety-five billion, six hundred sixty-six million, six hundred fifty-nine thousand, six hundred twenty-four".