166677038804880 has 640 divisors, whose sum is σ = 598501807718400. Its totient is φ = 42583261593600.

The previous prime is 166677038804821. The next prime is 166677038804923. The reversal of 166677038804880 is 88408830776661.

166677038804880 is digitally balanced in base 2, 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 = 166677038804799 and 166677038804808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7484028145 + ... + 7484050415.

It is an arithmetic number, because the mean of its divisors is an integer number (935159074560).

Almost surely, 2^{166677038804880} is an apocalyptic number.

166677038804880 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 166677038804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299250903859200).

166677038804880 is an abundant number, since it is smaller than the sum of its proper divisors (431824768913520).

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

166677038804880 is a wasteful number, since it uses less digits than its factorization.

166677038804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23240 (or 23228 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 166677038804880 in words is "one hundred sixty-six trillion, six hundred seventy-seven billion, thirty-eight million, eight hundred four thousand, eight hundred eighty".