166350892856400 has 720 divisors, whose sum is σ = 677886062300928. Its totient is φ = 36978923520000.

The previous prime is 166350892856399. The next prime is 166350892856471. The reversal of 166350892856400 is 4658298053661.

It is a happy number.

166350892856400 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 508 + 9 + 2 + 85 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2154737800 + ... + 2154815000.

Almost surely, 2^{166350892856400} is an apocalyptic number.

166350892856400 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 166350892856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338943031150464).

166350892856400 is an abundant number, since it is smaller than the sum of its proper divisors (511535169444528).

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

166350892856400 is a wasteful number, since it uses less digits than its factorization.

166350892856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79580 (or 79566 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 166350892856400 in words is "one hundred sixty-six trillion, three hundred fifty billion, eight hundred ninety-two million, eight hundred fifty-six thousand, four hundred".