166971825972 has 144 divisors (see below), whose sum is σ = 511365778560. Its totient is φ = 44844742656.

The previous prime is 166971825893. The next prime is 166971826013. The reversal of 166971825972 is 279528179661.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3519304 + ... + 3566432.

It is an arithmetic number, because the mean of its divisors is an integer number (3551151240).

Almost surely, 2^166971825972 is an apocalyptic number.

166971825972 is a gapful number since it is divisible by the number (12) 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 166971825972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255682889280).

166971825972 is an abundant number, since it is smaller than the sum of its proper divisors (344393952588).

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

166971825972 is a wasteful number, since it uses less digits than its factorization.

166971825972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47990 (or 47985 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 166971825972 in words is "one hundred sixty-six billion, nine hundred seventy-one million, eight hundred twenty-five thousand, nine hundred seventy-two".