166591920768 has 512 divisors, whose sum is σ = 581691801600. Its totient is φ = 41045114880.

The previous prime is 166591920757. The next prime is 166591920769. The reversal of 166591920768 is 867029195661.

It is not an unprimeable number, because it can be changed into a prime (166591920769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31412005 + ... + 31417307.

It is an arithmetic number, because the mean of its divisors is an integer number (1136116800).

Almost surely, 2^166591920768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166591920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290845900800).

166591920768 is an abundant number, since it is smaller than the sum of its proper divisors (415099880832).

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

166591920768 is a wasteful number, since it uses less digits than its factorization.

166591920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 166591920768 in words is "one hundred sixty-six billion, five hundred ninety-one million, nine hundred twenty thousand, seven hundred sixty-eight".