5268190438080 has 336 divisors, whose sum is σ = 18223873091424. Its totient is φ = 1396849950720.

The previous prime is 5268190438051. The next prime is 5268190438087. The reversal of 5268190438080 is 808340918625.

5268190438080 is a `hidden beast` number, since 5 + 26 + 81 + 90 + 4 + 380 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5268190438087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372224284 + ... + 372238436.

It is an arithmetic number, because the mean of its divisors is an integer number (54237717534).

Almost surely, 2^{5268190438080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268190438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111936545712).

5268190438080 is an abundant number, since it is smaller than the sum of its proper divisors (12955682653344).

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

5268190438080 is a wasteful number, since it uses less digits than its factorization.

5268190438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14904 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5268190438080 in words is "five trillion, two hundred sixty-eight billion, one hundred ninety million, four hundred thirty-eight thousand, eighty".