5168432457216 has 240 divisors, whose sum is σ = 17050224885408. Its totient is φ = 1476447436800.

The previous prime is 5168432457197. The next prime is 5168432457217. The reversal of 5168432457216 is 6127542348615.

5168432457216 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 43 + 24 + 572 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5168432457217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288391936 + ... + 288409856.

Almost surely, 2^{5168432457216} is an apocalyptic number.

5168432457216 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 5168432457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525112442704).

5168432457216 is an abundant number, since it is smaller than the sum of its proper divisors (11881792428192).

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

5168432457216 is a wasteful number, since it uses less digits than its factorization.

5168432457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26893 (or 26874 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 5168432457216 in words is "five trillion, one hundred sixty-eight billion, four hundred thirty-two million, four hundred fifty-seven thousand, two hundred sixteen".