172523520000 has 950 divisors, whose sum is σ = 693639041018. Its totient is φ = 42467328000.

The previous prime is 172523519999. The next prime is 172523520011. The reversal of 172523520000 is 25325271.

It can be written as a sum of positive squares in 5 ways, for example, as 101093474304 + 71430045696 = 317952^2 + 267264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 13271039994 + ... + 13271040006.

Almost surely, 2^172523520000 is an apocalyptic number.

172523520000 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 172523520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346819520509).

172523520000 is an abundant number, since it is smaller than the sum of its proper divisors (521115521018).

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

172523520000 is an frugal number, since it uses more digits than its factorization.

172523520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 172523520000 its reverse (25325271), we get a palindrome (172548845271).

The spelling of 172523520000 in words is "one hundred seventy-two billion, five hundred twenty-three million, five hundred twenty thousand".