165694325760 has 880 divisors, whose sum is σ = 642004704000. Its totient is φ = 40738553856.

The previous prime is 165694325729. The next prime is 165694325827. The reversal of 165694325760 is 67523496561.

165694325760 is a `hidden beast` number, since 1 + 6 + 5 + 69 + 4 + 3 + 2 + 576 + 0 = 666.

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 = 165694325697 and 165694325706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276617941 + ... + 276618539.

It is an arithmetic number, because the mean of its divisors is an integer number (729550800).

Almost surely, 2^165694325760 is an apocalyptic number.

165694325760 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 165694325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321002352000).

165694325760 is an abundant number, since it is smaller than the sum of its proper divisors (476310378240).

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

165694325760 is a wasteful number, since it uses less digits than its factorization.

165694325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 165694325760 in words is "one hundred sixty-five billion, six hundred ninety-four million, three hundred twenty-five thousand, seven hundred sixty".