5040787066560 has 672 divisors, whose sum is σ = 20717225763840. Its totient is φ = 1150445721600.

The previous prime is 5040787066547. The next prime is 5040787066571. The reversal of 5040787066560 is 656607870405.

5040787066560 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 7 + 8 + 70 + 6 + 6 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5040787066497 and 5040787066506.

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, 292533145 + ... + 292550375.

Almost surely, 2^{5040787066560} 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 5040787066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358612881920).

5040787066560 is an abundant number, since it is smaller than the sum of its proper divisors (15676438697280).

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

5040787066560 is a wasteful number, since it uses less digits than its factorization.

5040787066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962 (or 17939 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5040787066560 in words is "five trillion, forty billion, seven hundred eighty-seven million, sixty-six thousand, five hundred sixty".