171165051972 has 72 divisors (see below), whose sum is σ = 445289068224. Its totient is φ = 55405941696.

The previous prime is 171165051923. The next prime is 171165051989. The reversal of 171165051972 is 279150561171.

171165051972 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 65 + 0 + 519 + 72 = 666.

171165051972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×171165051972² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51768 + ... + 587375.

It is an arithmetic number, because the mean of its divisors is an integer number (6184570392).

Almost surely, 2^171165051972 is an apocalyptic number.

171165051972 is a gapful number since it is divisible by the number (12) 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 171165051972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222644534112).

171165051972 is an abundant number, since it is smaller than the sum of its proper divisors (274124016252).

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

171165051972 is a wasteful number, since it uses less digits than its factorization.

171165051972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639369 (or 639364 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 45.

The spelling of 171165051972 in words is "one hundred seventy-one billion, one hundred sixty-five million, fifty-one thousand, nine hundred seventy-two".