166508155840 has 336 divisors, whose sum is σ = 443237477760. Its totient is φ = 59520614400.

The previous prime is 166508155837. The next prime is 166508155861. The reversal of 166508155840 is 48551805661.

It is a happy number.

166508155840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166508155840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277051540 + ... + 277052140.

It is an arithmetic number, because the mean of its divisors is an integer number (1319159160).

Almost surely, 2^166508155840 is an apocalyptic number.

166508155840 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 166508155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221618738880).

166508155840 is an abundant number, since it is smaller than the sum of its proper divisors (276729321920).

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

166508155840 is a wasteful number, since it uses less digits than its factorization.

166508155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 49.

The spelling of 166508155840 in words is "one hundred sixty-six billion, five hundred eight million, one hundred fifty-five thousand, eight hundred forty".