172065510816 has 192 divisors, whose sum is σ = 477918403200. Its totient is φ = 54143631360.

The previous prime is 172065510811. The next prime is 172065510817. The reversal of 172065510816 is 618015560271.

It is not an unprimeable number, because it can be changed into a prime (172065510811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15222735 + ... + 15234033.

It is an arithmetic number, because the mean of its divisors is an integer number (2489158350).

Almost surely, 2^172065510816 is an apocalyptic number.

172065510816 is a gapful number since it is divisible by the number (16) 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 172065510816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238959201600).

172065510816 is an abundant number, since it is smaller than the sum of its proper divisors (305852892384).

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

172065510816 is a wasteful number, since it uses less digits than its factorization.

172065510816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11479 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 172065510816 in words is "one hundred seventy-two billion, sixty-five million, five hundred ten thousand, eight hundred sixteen".