166010340077568 has 2184 divisors, whose sum is σ = 613980486540000. Its totient is φ = 44835051405312.

The previous prime is 166010340077437. The next prime is 166010340077611. The reversal of 166010340077568 is 865770043010661.

166010340077568 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 1 + 0 + 3 + 4 + 0 + 0 + 77 + 568 = 666.

It is a super-2 number, since 2×166010340077568² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 369733496608 + ... + 369733497056.

Almost surely, 2^{166010340077568} is an apocalyptic number.

166010340077568 is a gapful number since it is divisible by the number (18) 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 166010340077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306990243270000).

166010340077568 is an abundant number, since it is smaller than the sum of its proper divisors (447970146462432).

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

166010340077568 is an frugal number, since it uses more digits than its factorization.

166010340077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 166010340077568 in words is "one hundred sixty-six trillion, ten billion, three hundred forty million, seventy-seven thousand, five hundred sixty-eight".