171072552960 has 320 divisors, whose sum is σ = 608509044000. Its totient is φ = 45600473088.

The previous prime is 171072552883. The next prime is 171072552977. The reversal of 171072552960 is 69255270171.

171072552960 is a `hidden beast` number, since 1 + 7 + 1 + 0 + 7 + 2 + 552 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70777672 + ... + 70780088.

Almost surely, 2^171072552960 is an apocalyptic number.

171072552960 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 171072552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304254522000).

171072552960 is an abundant number, since it is smaller than the sum of its proper divisors (437436491040).

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

171072552960 is an frugal number, since it uses more digits than its factorization.

171072552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 171072552960 in words is "one hundred seventy-one billion, seventy-two million, five hundred fifty-two thousand, nine hundred sixty".