166338754560 has 576 divisors, whose sum is σ = 638043194880. Its totient is φ = 39739392000.

The previous prime is 166338754553. The next prime is 166338754573. The reversal of 166338754560 is 65457833661.

166338754560 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 3 + 8 + 75 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 166338754497 and 166338754506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71975805 + ... + 71978115.

It is an arithmetic number, because the mean of its divisors is an integer number (1107713880).

Almost surely, 2^166338754560 is an apocalyptic number.

166338754560 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 166338754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319021597440).

166338754560 is an abundant number, since it is smaller than the sum of its proper divisors (471704440320).

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

166338754560 is a wasteful number, since it uses less digits than its factorization.

166338754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 166338754560 in words is "one hundred sixty-six billion, three hundred thirty-eight million, seven hundred fifty-four thousand, five hundred sixty".