168166886400 has 462 divisors, whose sum is σ = 625058811012. Its totient is φ = 44839526400.

The previous prime is 168166886399. The next prime is 168166886417. The reversal of 168166886400 is 4688661861.

168166886400 is a `hidden beast` number, since 168 + 16 + 68 + 8 + 6 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18657895 + ... + 18666905.

Almost surely, 2^168166886400 is an apocalyptic number.

168166886400 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 168166886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312529405506).

168166886400 is an abundant number, since it is smaller than the sum of its proper divisors (456891924612).

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

168166886400 is an frugal number, since it uses more digits than its factorization.

168166886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 168166886400 in words is "one hundred sixty-eight billion, one hundred sixty-six million, eight hundred eighty-six thousand, four hundred".