166988606400 has 1344 divisors, whose sum is σ = 803858549760. Its totient is φ = 32646758400.

The previous prime is 166988606387. The next prime is 166988606569. The reversal of 166988606400 is 4606889661.

166988606400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 56547324 + ... + 56550276.

It is an arithmetic number, because the mean of its divisors is an integer number (598109040).

Almost surely, 2^166988606400 is an apocalyptic number.

166988606400 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 166988606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401929274880).

166988606400 is an abundant number, since it is smaller than the sum of its proper divisors (636869943360).

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

166988606400 is a wasteful number, since it uses less digits than its factorization.

166988606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 166988606400 in words is "one hundred sixty-six billion, nine hundred eighty-eight million, six hundred six thousand, four hundred".