166138476940800 has 1440 divisors, whose sum is σ = 732192197825088. Its totient is φ = 35033209896960.

The previous prime is 166138476940781. The next prime is 166138476940823. The reversal of 166138476940800 is 8049674831661.

It is a happy number.

166138476940800 is a `hidden beast` number, since 1 + 6 + 613 + 8 + 4 + 7 + 6 + 9 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24457302204 + ... + 24457308996.

Almost surely, 2^{166138476940800} is an apocalyptic number.

166138476940800 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 166138476940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366096098912544).

166138476940800 is an abundant number, since it is smaller than the sum of its proper divisors (566053720884288).

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

166138476940800 is a wasteful number, since it uses less digits than its factorization.

166138476940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9156 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 166138476940800 in words is "one hundred sixty-six trillion, one hundred thirty-eight billion, four hundred seventy-six million, nine hundred forty thousand, eight hundred".