5207760000 has 320 divisors, whose sum is σ = 19214474400. Its totient is φ = 1388160000.

The previous prime is 5207759993. The next prime is 5207760001. The reversal of 5207760000 is 677025.

5207760000 is a `hidden beast` number, since 52 + 0 + 7 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5207760001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2158795 + ... + 2161205.

Almost surely, 2^5207760000 is an apocalyptic number.

5207760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5207760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607237200).

5207760000 is an abundant number, since it is smaller than the sum of its proper divisors (14006714400).

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

5207760000 is an equidigital number, since it uses as much as digits as its factorization.

5207760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5207760000 is about 72164.8113695311. The cubic root of 5207760000 is about 1733.3395792017.

The spelling of 5207760000 in words is "five billion, two hundred seven million, seven hundred sixty thousand".