5137691580560 has 640 divisors, whose sum is σ = 15818073292800. Its totient is φ = 1505353973760.

The previous prime is 5137691580517. The next prime is 5137691580599. The reversal of 5137691580560 is 650851967315.

It is a super-2 number, since 2×5137691580560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5137691580496 and 5137691580505.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1030214387 + ... + 1030219373.

It is an arithmetic number, because the mean of its divisors is an integer number (24715739520).

Almost surely, 2^{5137691580560} 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 5137691580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909036646400).

5137691580560 is an abundant number, since it is smaller than the sum of its proper divisors (10680381712240).

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

5137691580560 is a wasteful number, since it uses less digits than its factorization.

5137691580560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 56.

The spelling of 5137691580560 in words is "five trillion, one hundred thirty-seven billion, six hundred ninety-one million, five hundred eighty thousand, five hundred sixty".