166556160526400 has 168 divisors, whose sum is σ = 427716827210304. Its totient is φ = 63716033075200.

The previous prime is 166556160526391. The next prime is 166556160526421. The reversal of 166556160526400 is 4625061655661.

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 23 ways as a sum of consecutive naturals, for example, 241173590 + ... + 241863210.

Almost surely, 2^{166556160526400} is an apocalyptic number.

166556160526400 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 166556160526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213858413605152).

166556160526400 is an abundant number, since it is smaller than the sum of its proper divisors (261160666683904).

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

166556160526400 is a wasteful number, since it uses less digits than its factorization.

166556160526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696229 (or 696214 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 166556160526400 in words is "one hundred sixty-six trillion, five hundred fifty-six billion, one hundred sixty million, five hundred twenty-six thousand, four hundred".