5107546560 has 224 divisors, whose sum is σ = 17236074240. Its totient is φ = 1277779968.

The previous prime is 5107546547. The next prime is 5107546567. The reversal of 5107546560 is 656457015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5107546567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950372 + ... + 1952988.

It is an arithmetic number, because the mean of its divisors is an integer number (76946760).

Almost surely, 2^5107546560 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 5107546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618037120).

5107546560 is an abundant number, since it is smaller than the sum of its proper divisors (12128527680).

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

5107546560 is a wasteful number, since it uses less digits than its factorization.

5107546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5107546560 is about 71467.1012424598. The cubic root of 5107546560 is about 1722.1492152719.

The spelling of 5107546560 in words is "five billion, one hundred seven million, five hundred forty-six thousand, five hundred sixty".