166899996806400 has 2592 divisors, whose sum is σ = 728820392509440. Its totient is φ = 37045112832000.

The previous prime is 166899996806393. The next prime is 166899996806423. The reversal of 166899996806400 is 4608699998661.

166899996806400 is a `hidden beast` number, since 1 + 6 + 68 + 9 + 9 + 99 + 68 + 0 + 6 + 400 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 166899996806400.

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 287 ways as a sum of consecutive naturals, for example, 40796868355 + ... + 40796872445.

Almost surely, 2^{166899996806400} is an apocalyptic number.

166899996806400 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 166899996806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364410196254720).

166899996806400 is an abundant number, since it is smaller than the sum of its proper divisors (561920395703040).

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

166899996806400 is a wasteful number, since it uses less digits than its factorization.

166899996806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 2176782336, while the sum is 81.

The spelling of 166899996806400 in words is "one hundred sixty-six trillion, eight hundred ninety-nine billion, nine hundred ninety-six million, eight hundred six thousand, four hundred".