5007507298560 has 1008 divisors, whose sum is σ = 19781258241024. Its totient is φ = 1206253928448.

The previous prime is 5007507298477. The next prime is 5007507298561. The reversal of 5007507298560 is 658927057005.

5007507298560 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 5 + 0 + 72 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5007507298497 and 5007507298506.

It is not an unprimeable number, because it can be changed into a prime (5007507298561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 570131929 + ... + 570140711.

It is an arithmetic number, because the mean of its divisors is an integer number (19624264128).

Almost surely, 2^{5007507298560} 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 5007507298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890629120512).

5007507298560 is an abundant number, since it is smaller than the sum of its proper divisors (14773750942464).

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

5007507298560 is an equidigital number, since it uses as much as digits as its factorization.

5007507298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 5007507298560 in words is "five trillion, seven billion, five hundred seven million, two hundred ninety-eight thousand, five hundred sixty".