5218173376416 has 2304 divisors, whose sum is σ = 21529550794752. Its totient is φ = 1199768371200.

The previous prime is 5218173376397. The next prime is 5218173376421. The reversal of 5218173376416 is 6146733718125.

5218173376416 is a `hidden beast` number, since 5 + 21 + 8 + 173 + 37 + 6 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26488189630 + ... + 26488189826.

It is an arithmetic number, because the mean of its divisors is an integer number (9344423088).

Almost surely, 2^{5218173376416} is an apocalyptic number.

5218173376416 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 5218173376416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764775397376).

5218173376416 is an abundant number, since it is smaller than the sum of its proper divisors (16311377418336).

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

5218173376416 is a wasteful number, since it uses less digits than its factorization.

5218173376416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 5218173376416 in words is "five trillion, two hundred eighteen billion, one hundred seventy-three million, three hundred seventy-six thousand, four hundred sixteen".