166912598160 has 1680 divisors, whose sum is σ = 761407933440. Its totient is φ = 33256396800.

The previous prime is 166912598143. The next prime is 166912598173. The reversal of 166912598160 is 61895219661.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 166912598097 and 166912598106.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1531308186 + ... + 1531308294.

It is an arithmetic number, because the mean of its divisors is an integer number (453219008).

Almost surely, 2^166912598160 is an apocalyptic number.

166912598160 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 166912598160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380703966720).

166912598160 is an abundant number, since it is smaller than the sum of its proper divisors (594495335280).

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

166912598160 is a wasteful number, since it uses less digits than its factorization.

166912598160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 166912598160 in words is "one hundred sixty-six billion, nine hundred twelve million, five hundred ninety-eight thousand, one hundred sixty".