5047961405760 has 672 divisors, whose sum is σ = 21379525440000. Its totient is φ = 1064574959616.

The previous prime is 5047961405743. The next prime is 5047961405813. The reversal of 5047961405760 is 675041697405.

5047961405760 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 9 + 61 + 4 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5047961405760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5047961405697 and 5047961405706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009791741 + ... + 1009796739.

It is an arithmetic number, because the mean of its divisors is an integer number (31814770000).

Almost surely, 2^{5047961405760} 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 5047961405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689762720000).

5047961405760 is an abundant number, since it is smaller than the sum of its proper divisors (16331564034240).

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

5047961405760 is a wasteful number, since it uses less digits than its factorization.

5047961405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8895 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 5047961405760 in words is "five trillion, forty-seven billion, nine hundred sixty-one million, four hundred five thousand, seven hundred sixty".