166751745160 has 768 divisors, whose sum is σ = 545854982400. Its totient is φ = 44939059200.

The previous prime is 166751745157. The next prime is 166751745169. The reversal of 166751745160 is 61547157661.

It is a super-2 number, since 2×166751745160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (166751745169) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 921280270 + ... + 921280450.

It is an arithmetic number, because the mean of its divisors is an integer number (710748675).

Almost surely, 2^166751745160 is an apocalyptic number.

166751745160 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 166751745160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272927491200).

166751745160 is an abundant number, since it is smaller than the sum of its proper divisors (379103237240).

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

166751745160 is a wasteful number, since it uses less digits than its factorization.

166751745160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 166751745160 in words is "one hundred sixty-six billion, seven hundred fifty-one million, seven hundred forty-five thousand, one hundred sixty".