168632005610880 has 1280 divisors, whose sum is σ = 714027156480000. Its totient is φ = 37113153454080.

The previous prime is 168632005610801. The next prime is 168632005610899. The reversal of 168632005610880 is 88016500236861.

168632005610880 is a `hidden beast` number, since 16 + 8 + 6 + 3 + 2 + 0 + 0 + 5 + 610 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×168632005610880³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2238569056 + ... + 2238644384.

It is an arithmetic number, because the mean of its divisors is an integer number (557833716000).

Almost surely, 2^{168632005610880} is an apocalyptic number.

168632005610880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168632005610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357013578240000).

168632005610880 is an abundant number, since it is smaller than the sum of its proper divisors (545395150869120).

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

168632005610880 is a wasteful number, since it uses less digits than its factorization.

168632005610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75597 (or 75576 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 168632005610880 in words is "one hundred sixty-eight trillion, six hundred thirty-two billion, five million, six hundred ten thousand, eight hundred eighty".