5125109760 has 480 divisors, whose sum is σ = 18979440480. Its totient is φ = 1321795584.

The previous prime is 5125109749. The next prime is 5125109777. The reversal of 5125109760 is 679015215.

5125109760 is a `hidden beast` number, since 51 + 2 + 510 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30689197 + ... + 30689363.

It is an arithmetic number, because the mean of its divisors is an integer number (39540501).

Almost surely, 2^5125109760 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 5125109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489720240).

5125109760 is an abundant number, since it is smaller than the sum of its proper divisors (13854330720).

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

5125109760 is a wasteful number, since it uses less digits than its factorization.

5125109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 5125109760 is about 71589.8719093700. The cubic root of 5125109760 is about 1724.1209282766.

The spelling of 5125109760 in words is "five billion, one hundred twenty-five million, one hundred nine thousand, seven hundred sixty".