5095080413280 has 1728 divisors, whose sum is σ = 21822628359168. Its totient is φ = 1065190072320.

The previous prime is 5095080413251. The next prime is 5095080413389. The reversal of 5095080413280 is 823140805905.

5095080413280 is a `hidden beast` number, since 5 + 0 + 9 + 508 + 0 + 4 + 132 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10462177197 + ... + 10462177683.

It is an arithmetic number, because the mean of its divisors is an integer number (12628835856).

Almost surely, 2^{5095080413280} 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 5095080413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911314179584).

5095080413280 is an abundant number, since it is smaller than the sum of its proper divisors (16727547945888).

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

5095080413280 is a wasteful number, since it uses less digits than its factorization.

5095080413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5095080413280 in words is "five trillion, ninety-five billion, eighty million, four hundred thirteen thousand, two hundred eighty".