166864938240 has 576 divisors, whose sum is σ = 715552008192. Its totient is φ = 32005324800.

The previous prime is 166864938239. The next prime is 166864938241. The reversal of 166864938240 is 42839468661.

It is an interprime number because it is at equal distance from previous prime (166864938239) and next prime (166864938241).

It is a super-2 number, since 2×166864938240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166864938241) 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, 3822135 + ... + 3865545.

It is an arithmetic number, because the mean of its divisors is an integer number (1242277792).

Almost surely, 2^166864938240 is an apocalyptic number.

166864938240 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 166864938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357776004096).

166864938240 is an abundant number, since it is smaller than the sum of its proper divisors (548687069952).

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

166864938240 is a wasteful number, since it uses less digits than its factorization.

166864938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43466 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 166864938240 in words is "one hundred sixty-six billion, eight hundred sixty-four million, nine hundred thirty-eight thousand, two hundred forty".