171081996800 has 720 divisors, whose sum is σ = 520817524920. Its totient is φ = 55256678400.

The previous prime is 171081996769. The next prime is 171081996817. The reversal of 171081996800 is 8699180171.

It can be written as a sum of positive squares in 12 ways, for example, as 19381094656 + 151700902144 = 139216^2 + 389488^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 583897454 + ... + 583897746.

Almost surely, 2^171081996800 is an apocalyptic number.

171081996800 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 171081996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260408762460).

171081996800 is an abundant number, since it is smaller than the sum of its proper divisors (349735528120).

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

171081996800 is a wasteful number, since it uses less digits than its factorization.

171081996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 50.

The spelling of 171081996800 in words is "one hundred seventy-one billion, eighty-one million, nine hundred ninety-six thousand, eight hundred".