166088486400 has 240 divisors, whose sum is σ = 549219941424. Its totient is φ = 44245319680.

The previous prime is 166088486341. The next prime is 166088486419. The reversal of 166088486400 is 4684880661.

It is a tau number, because it is divible by the number of its divisors (240).

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, 57329752 + ... + 57332648.

Almost surely, 2^166088486400 is an apocalyptic number.

166088486400 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 166088486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274609970712).

166088486400 is an abundant number, since it is smaller than the sum of its proper divisors (383131455024).

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

166088486400 is a wasteful number, since it uses less digits than its factorization.

166088486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 166088486400 in words is "one hundred sixty-six billion, eighty-eight million, four hundred eighty-six thousand, four hundred".