166260677760 has 768 divisors, whose sum is σ = 633712584960. Its totient is φ = 41560915968.

The previous prime is 166260677743. The next prime is 166260677797. The reversal of 166260677760 is 67776062661.

166260677760 is a `hidden beast` number, since 1 + 6 + 626 + 0 + 6 + 7 + 7 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×166260677760² (a number of 23 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 = 166260677697 and 166260677706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189578442 + ... + 189579318.

It is an arithmetic number, because the mean of its divisors is an integer number (825146595).

Almost surely, 2^166260677760 is an apocalyptic number.

166260677760 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 166260677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316856292480).

166260677760 is an abundant number, since it is smaller than the sum of its proper divisors (467451907200).

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

166260677760 is an equidigital number, since it uses as much as digits as its factorization.

166260677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 166260677760 in words is "one hundred sixty-six billion, two hundred sixty million, six hundred seventy-seven thousand, seven hundred sixty".