168884965768400 has 120 divisors (see below), whose sum is σ = 463771008315264. Its totient is φ = 57895781644800.

The previous prime is 168884965768381. The next prime is 168884965768429. The reversal of 168884965768400 is 4867569488861.

It is a super-3 number, since 3×168884965768400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17281934 + ... + 25227666.

Almost surely, 2^{168884965768400} is an apocalyptic number.

168884965768400 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 168884965768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231885504157632).

168884965768400 is an abundant number, since it is smaller than the sum of its proper divisors (294886042546864).

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

168884965768400 is a wasteful number, since it uses less digits than its factorization.

168884965768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953349 (or 7953338 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 80.

The spelling of 168884965768400 in words is "one hundred sixty-eight trillion, eight hundred eighty-four billion, nine hundred sixty-five million, seven hundred sixty-eight thousand, four hundred".