166380856320 has 1056 divisors, whose sum is σ = 652043323008. Its totient is φ = 36068917248.

The previous prime is 166380856319. The next prime is 166380856333. The reversal of 166380856320 is 23658083661.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166380856320.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1715266512 + ... + 1715266608.

It is an arithmetic number, because the mean of its divisors is an integer number (617465268).

Almost surely, 2^166380856320 is an apocalyptic number.

166380856320 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 166380856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326021661504).

166380856320 is an abundant number, since it is smaller than the sum of its proper divisors (485662466688).

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

166380856320 is a wasteful number, since it uses less digits than its factorization.

166380856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 166380856320 in words is "one hundred sixty-six billion, three hundred eighty million, eight hundred fifty-six thousand, three hundred twenty".