38961509887566 has 48 divisors (see below), whose sum is σ = 102151185593184. Its totient is φ = 10477044675072.

The previous prime is 38961509887543. The next prime is 38961509887567. The reversal of 38961509887566 is 66578890516983.

38961509887566 is a `hidden beast` number, since 38 + 9 + 6 + 1 + 509 + 8 + 8 + 75 + 6 + 6 = 666.

It is a super-2 number, since 2×38961509887566² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38961509887567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9094654695 + ... + 9094658978.

It is an arithmetic number, because the mean of its divisors is an integer number (2128149699858).

Almost surely, 2^{38961509887566} is an apocalyptic number.

38961509887566 is an abundant number, since it is smaller than the sum of its proper divisors (63189675705618).

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

38961509887566 is a wasteful number, since it uses less digits than its factorization.

38961509887566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18189313705 (or 18189313702 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 38961509887566 in words is "thirty-eight trillion, nine hundred sixty-one billion, five hundred nine million, eight hundred eighty-seven thousand, five hundred sixty-six".