5057185727760 has 320 divisors, whose sum is σ = 16165846819584. Its totient is φ = 1307020492800.

The previous prime is 5057185727753. The next prime is 5057185727771. The reversal of 5057185727760 is 677275817505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5057185727694 and 5057185727703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957616320 + ... + 957621600.

Almost surely, 2^{5057185727760} 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 5057185727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8082923409792).

5057185727760 is an abundant number, since it is smaller than the sum of its proper divisors (11108661091824).

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

5057185727760 is a wasteful number, since it uses less digits than its factorization.

5057185727760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 28812000, while the sum is 60.

The spelling of 5057185727760 in words is "five trillion, fifty-seven billion, one hundred eighty-five million, seven hundred twenty-seven thousand, seven hundred sixty".