5813761858560 has 3168 divisors, whose sum is σ = 25034198192640. Its totient is φ = 1286505234432.

The previous prime is 5813761858559. The next prime is 5813761858571. The reversal of 5813761858560 is 658581673185.

5813761858560 is a `hidden beast` number, since 5 + 8 + 1 + 3 + 7 + 6 + 18 + 58 + 560 = 666.

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, 157128698862 + ... + 157128698898.

Almost surely, 2^{5813761858560} 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 5813761858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517099096320).

5813761858560 is an abundant number, since it is smaller than the sum of its proper divisors (19220436334080).

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

5813761858560 is a wasteful number, since it uses less digits than its factorization.

5813761858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 5813761858560 in words is "five trillion, eight hundred thirteen billion, seven hundred sixty-one million, eight hundred fifty-eight thousand, five hundred sixty".