166056246720 has 1344 divisors, whose sum is σ = 753517879296. Its totient is φ = 33861058560.

The previous prime is 166056246709. The next prime is 166056246737. The reversal of 166056246720 is 27642650661.

166056246720 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 562 + 4 + 67 + 20 = 666.

166056246720 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 (45).

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, 219360582 + ... + 219361338.

It is an arithmetic number, because the mean of its divisors is an integer number (560653184).

Almost surely, 2^166056246720 is an apocalyptic number.

166056246720 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 166056246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376758939648).

166056246720 is an abundant number, since it is smaller than the sum of its proper divisors (587461632576).

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

166056246720 is a wasteful number, since it uses less digits than its factorization.

166056246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 166056246720 in words is "one hundred sixty-six billion, fifty-six million, two hundred forty-six thousand, seven hundred twenty".