166592712960 has 648 divisors, whose sum is σ = 608277720960. Its totient is φ = 43705847808.

The previous prime is 166592712947. The next prime is 166592712983. The reversal of 166592712960 is 69217295661.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×166592712960² (a number of 23 digits) contains 22 as substring.

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 = 166592712897 and 166592712906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 697040521 + ... + 697040759.

Almost surely, 2^166592712960 is an apocalyptic number.

166592712960 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 166592712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304138860480).

166592712960 is an abundant number, since it is smaller than the sum of its proper divisors (441685008000).

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

166592712960 is an frugal number, since it uses more digits than its factorization.

166592712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 166592712960 in words is "one hundred sixty-six billion, five hundred ninety-two million, seven hundred twelve thousand, nine hundred sixty".