165952696320 has 520 divisors, whose sum is σ = 603705532320. Its totient is φ = 43599790080.

The previous prime is 165952696313. The next prime is 165952696361. The reversal of 165952696320 is 23696259561.

It is a happy number.

165952696320 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 526 + 96 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117779776 + ... + 117781184.

Almost surely, 2^165952696320 is an apocalyptic number.

165952696320 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 165952696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301852766160).

165952696320 is an abundant number, since it is smaller than the sum of its proper divisors (437752836000).

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

165952696320 is an equidigital number, since it uses as much as digits as its factorization.

165952696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 165952696320 in words is "one hundred sixty-five billion, nine hundred fifty-two million, six hundred ninety-six thousand, three hundred twenty".