8939929106556 has 192 divisors, whose sum is σ = 26563796582400. Its totient is φ = 2547028628928.

The previous prime is 8939929106509. The next prime is 8939929106569. The reversal of 8939929106556 is 6556019299398.

8939929106556 is a `hidden beast` number, since 8 + 9 + 39 + 9 + 29 + 10 + 6 + 556 = 666.

It is a super-3 number, since 3×8939929106556³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692635455 + ... + 692648361.

It is an arithmetic number, because the mean of its divisors is an integer number (138353107200).

Almost surely, 2^{8939929106556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8939929106556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281898291200).

8939929106556 is an abundant number, since it is smaller than the sum of its proper divisors (17623867475844).

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

8939929106556 is a wasteful number, since it uses less digits than its factorization.

8939929106556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453 (or 15445 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 8939929106556 in words is "eight trillion, nine hundred thirty-nine billion, nine hundred twenty-nine million, one hundred six thousand, five hundred fifty-six".