171052051968 has 800 divisors, whose sum is σ = 612220815360. Its totient is φ = 46521630720.

The previous prime is 171052051931. The next prime is 171052051979. The reversal of 171052051968 is 869150250171.

171052051968 is a `hidden beast` number, since 1 + 7 + 10 + 520 + 51 + 9 + 68 = 666.

It is a congruent number.

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, 746952078 + ... + 746952306.

Almost surely, 2^171052051968 is an apocalyptic number.

171052051968 is a gapful number since it is divisible by the number (18) 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 171052051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306110407680).

171052051968 is an abundant number, since it is smaller than the sum of its proper divisors (441168763392).

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

171052051968 is an equidigital number, since it uses as much as digits as its factorization.

171052051968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 171052051968 in words is "one hundred seventy-one billion, fifty-two million, fifty-one thousand, nine hundred sixty-eight".