166797221760 has 1536 divisors, whose sum is σ = 714069457920. Its totient is φ = 36787322880.

The previous prime is 166797221719. The next prime is 166797221779. The reversal of 166797221760 is 67122797661.

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 = 166797221697 and 166797221706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 790508055 + ... + 790508265.

It is an arithmetic number, because the mean of its divisors is an integer number (464888970).

Almost surely, 2^166797221760 is an apocalyptic number.

166797221760 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 166797221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357034728960).

166797221760 is an abundant number, since it is smaller than the sum of its proper divisors (547272236160).

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

166797221760 is a wasteful number, since it uses less digits than its factorization.

166797221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 166797221760 in words is "one hundred sixty-six billion, seven hundred ninety-seven million, two hundred twenty-one thousand, seven hundred sixty".