166053577210560 has 896 divisors, whose sum is σ = 646597468661760. Its totient is φ = 39858311872512.

The previous prime is 166053577210513. The next prime is 166053577210667. The reversal of 166053577210560 is 65012775350661.

166053577210560 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 5 + 3 + 5 + 7 + 72 + 1 + 0 + 560 = 666.

166053577210560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166053577210560² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 166053577210497 and 166053577210506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2960614837 + ... + 2960670923.

It is an arithmetic number, because the mean of its divisors is an integer number (721648960560).

Almost surely, 2^{166053577210560} is an apocalyptic number.

166053577210560 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 166053577210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323298734330880).

166053577210560 is an abundant number, since it is smaller than the sum of its proper divisors (480543891451200).

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

166053577210560 is a wasteful number, since it uses less digits than its factorization.

166053577210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56782 (or 56766 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 166053577210560 in words is "one hundred sixty-six trillion, fifty-three billion, five hundred seventy-seven million, two hundred ten thousand, five hundred sixty".