166292970256 has 80 divisors (see below), whose sum is σ = 371348454400. Its totient is φ = 70664275584.

The previous prime is 166292970251. The next prime is 166292970269. The reversal of 166292970256 is 652079292661.

It is a junction number, because it is equal to n+sod(n) for n = 166292970197 and 166292970206.

It is not an unprimeable number, because it can be changed into a prime (166292970251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12805975 + ... + 12818953.

It is an arithmetic number, because the mean of its divisors is an integer number (4641855680).

Almost surely, 2^166292970256 is an apocalyptic number.

166292970256 is a gapful number since it is divisible by the number (16) 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 166292970256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185674227200).

166292970256 is an abundant number, since it is smaller than the sum of its proper divisors (205055484144).

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

166292970256 is a wasteful number, since it uses less digits than its factorization.

166292970256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 166292970256 in words is "one hundred sixty-six billion, two hundred ninety-two million, nine hundred seventy thousand, two hundred fifty-six".