165970164222720 has 4032 divisors, whose sum is σ = 749093549783040. Its totient is φ = 34632636825600.

The previous prime is 165970164222673. The next prime is 165970164222757. The reversal of 165970164222720 is 27222461079561.

It is a happy number.

165970164222720 is a `hidden beast` number, since 1 + 6 + 597 + 0 + 1 + 6 + 4 + 2 + 2 + 27 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 125830298221 + ... + 125830299539.

It is an arithmetic number, because the mean of its divisors is an integer number (185787090720).

Almost surely, 2^{165970164222720} is an apocalyptic number.

165970164222720 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 165970164222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374546774891520).

165970164222720 is an abundant number, since it is smaller than the sum of its proper divisors (583123385560320).

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

165970164222720 is a wasteful number, since it uses less digits than its factorization.

165970164222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 165970164222720 in words is "one hundred sixty-five trillion, nine hundred seventy billion, one hundred sixty-four million, two hundred twenty-two thousand, seven hundred twenty".