5095980449280 has 3840 divisors, whose sum is σ = 23998440001536. Its totient is φ = 1009023713280.

The previous prime is 5095980449279. The next prime is 5095980449293. The reversal of 5095980449280 is 829440895905.

5095980449280 is a `hidden beast` number, since 5 + 0 + 95 + 9 + 80 + 449 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 69807951324 + ... + 69807951396.

Almost surely, 2^{5095980449280} 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 5095980449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999220000768).

5095980449280 is an abundant number, since it is smaller than the sum of its proper divisors (18902459552256).

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

5095980449280 is a wasteful number, since it uses less digits than its factorization.

5095980449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 5095980449280 in words is "five trillion, ninety-five billion, nine hundred eighty million, four hundred forty-nine thousand, two hundred eighty".