5173625673216 has 2160 divisors, whose sum is σ = 21363751918080. Its totient is φ = 1170227036160.

The previous prime is 5173625673131. The next prime is 5173625673217. The reversal of 5173625673216 is 6123765263715.

5173625673216 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 62 + 567 + 3 + 2 + 16 = 666.

Its product of digits (9525600) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5173625673217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 21646969225 + ... + 21646969463.

It is an arithmetic number, because the mean of its divisors is an integer number (9890625888).

Almost surely, 2^{5173625673216} is an apocalyptic number.

5173625673216 is a gapful number since it is divisible by the number (56) 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 5173625673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681875959040).

5173625673216 is an abundant number, since it is smaller than the sum of its proper divisors (16190126244864).

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

5173625673216 is a wasteful number, since it uses less digits than its factorization.

5173625673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 294 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 5173625673216 in words is "five trillion, one hundred seventy-three billion, six hundred twenty-five million, six hundred seventy-three thousand, two hundred sixteen".