172523450880 has 640 divisors, whose sum is σ = 675325347840. Its totient is φ = 41399009280.

The previous prime is 172523450857. The next prime is 172523450881. The reversal of 172523450880 is 88054325271.

172523450880 is a `hidden beast` number, since 1 + 7 + 2 + 523 + 45 + 0 + 8 + 80 = 666.

172523450880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×172523450880² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (172523450881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78311859 + ... + 78314061.

It is an arithmetic number, because the mean of its divisors is an integer number (1055195856).

Almost surely, 2^172523450880 is an apocalyptic number.

172523450880 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 172523450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337662673920).

172523450880 is an abundant number, since it is smaller than the sum of its proper divisors (502801896960).

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

172523450880 is a wasteful number, since it uses less digits than its factorization.

172523450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 172523450880 in words is "one hundred seventy-two billion, five hundred twenty-three million, four hundred fifty thousand, eight hundred eighty".