166769890560 has 864 divisors, whose sum is σ = 714076796160. Its totient is φ = 34993078272.

The previous prime is 166769890523. The next prime is 166769890619. The reversal of 166769890560 is 65098967661.

166769890560 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 69 + 8 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×166769890560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269417931 + ... + 269418549.

Almost surely, 2^166769890560 is an apocalyptic number.

166769890560 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 166769890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357038398080).

166769890560 is an abundant number, since it is smaller than the sum of its proper divisors (547306905600).

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

166769890560 is a wasteful number, since it uses less digits than its factorization.

166769890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 166769890560 in words is "one hundred sixty-six billion, seven hundred sixty-nine million, eight hundred ninety thousand, five hundred sixty".