166961813760 has 1440 divisors, whose sum is σ = 725969147904. Its totient is φ = 35831808000.

The previous prime is 166961813699. The next prime is 166961813789. The reversal of 166961813760 is 67318169661.

166961813760 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 618 + 13 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 166961813697 and 166961813706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 922440870 + ... + 922441050.

Almost surely, 2^166961813760 is an apocalyptic number.

166961813760 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 166961813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362984573952).

166961813760 is an abundant number, since it is smaller than the sum of its proper divisors (559007334144).

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

166961813760 is a wasteful number, since it uses less digits than its factorization.

166961813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 166961813760 in words is "one hundred sixty-six billion, nine hundred sixty-one million, eight hundred thirteen thousand, seven hundred sixty".