173012820480 has 640 divisors, whose sum is σ = 660900556800. Its totient is φ = 42763272192.

The previous prime is 173012820473. The next prime is 173012820503. The reversal of 173012820480 is 84028210371.

173012820480 is a `hidden beast` number, since 1 + 7 + 30 + 128 + 20 + 480 = 666.

173012820480 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 Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61722759 + ... + 61725561.

It is an arithmetic number, because the mean of its divisors is an integer number (1032657120).

Almost surely, 2^173012820480 is an apocalyptic number.

173012820480 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 173012820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330450278400).

173012820480 is an abundant number, since it is smaller than the sum of its proper divisors (487887736320).

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

173012820480 is a wasteful number, since it uses less digits than its factorization.

173012820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 173012820480 in words is "one hundred seventy-three billion, twelve million, eight hundred twenty thousand, four hundred eighty".