8661905166096 has 1440 divisors, whose sum is σ = 33137576559360. Its totient is φ = 2132279230464.

The previous prime is 8661905166043. The next prime is 8661905166119. The reversal of 8661905166096 is 6906615091668.

8661905166096 is a `hidden beast` number, since 8 + 6 + 6 + 1 + 9 + 0 + 5 + 16 + 609 + 6 = 666.

It is a super-2 number, since 2×8661905166096² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9323901760 + ... + 9323902688.

It is an arithmetic number, because the mean of its divisors is an integer number (23012205944).

Almost surely, 2^{8661905166096} 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 8661905166096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568788279680).

8661905166096 is an abundant number, since it is smaller than the sum of its proper divisors (24475671393264).

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

8661905166096 is a wasteful number, since it uses less digits than its factorization.

8661905166096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 8661905166096 in words is "eight trillion, six hundred sixty-one billion, nine hundred five million, one hundred sixty-six thousand, ninety-six".