166960478880 has 1152 divisors, whose sum is σ = 682090536960. Its totient is φ = 38375866368.

The previous prime is 166960478851. The next prime is 166960478887. The reversal of 166960478880 is 88874069661.

166960478880 is a `hidden beast` number, since 16 + 6 + 9 + 604 + 7 + 8 + 8 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (166960478887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1314649377 + ... + 1314649503.

It is an arithmetic number, because the mean of its divisors is an integer number (592092480).

Almost surely, 2^166960478880 is an apocalyptic number.

166960478880 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 166960478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341045268480).

166960478880 is an abundant number, since it is smaller than the sum of its proper divisors (515130058080).

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

166960478880 is a wasteful number, since it uses less digits than its factorization.

166960478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 166960478880 in words is "one hundred sixty-six billion, nine hundred sixty million, four hundred seventy-eight thousand, eight hundred eighty".