5405563709280 has 2304 divisors, whose sum is σ = 24772220928000. Its totient is φ = 1065160212480.

The previous prime is 5405563709257. The next prime is 5405563709309. The reversal of 5405563709280 is 829073655045.

5405563709280 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 563 + 70 + 9 + 2 + 8 + 0 = 666.

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, 4945620414 + ... + 4945621506.

It is an arithmetic number, because the mean of its divisors is an integer number (10751832000).

Almost surely, 2^{5405563709280} 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 5405563709280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12386110464000).

5405563709280 is an abundant number, since it is smaller than the sum of its proper divisors (19366657218720).

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

5405563709280 is a wasteful number, since it uses less digits than its factorization.

5405563709280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5405563709280 in words is "five trillion, four hundred five billion, five hundred sixty-three million, seven hundred nine thousand, two hundred eighty".