166627562849280 has 1408 divisors, whose sum is σ = 648060732211200. Its totient is φ = 40354355478528.

The previous prime is 166627562849239. The next prime is 166627562849281. The reversal of 166627562849280 is 82948265726661.

166627562849280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 166627562849199 and 166627562849208.

It is not an unprimeable number, because it can be changed into a prime (166627562849281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43585549449 + ... + 43585553271.

It is an arithmetic number, because the mean of its divisors is an integer number (460270406400).

Almost surely, 2^{166627562849280} is an apocalyptic number.

166627562849280 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 166627562849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324030366105600).

166627562849280 is an abundant number, since it is smaller than the sum of its proper divisors (481433169361920).

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

166627562849280 is a wasteful number, since it uses less digits than its factorization.

166627562849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 166627562849280 in words is "one hundred sixty-six trillion, six hundred twenty-seven billion, five hundred sixty-two million, eight hundred forty-nine thousand, two hundred eighty".