5125161128640 has 896 divisors, whose sum is σ = 19752725422080. Its totient is φ = 1102892544000.

The previous prime is 5125161128609. The next prime is 5125161128707. The reversal of 5125161128640 is 468211615215.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5125161128592 and 5125161128601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11569212259 + ... + 11569212701.

It is an arithmetic number, because the mean of its divisors is an integer number (22045452480).

Almost surely, 2^{5125161128640} 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 5125161128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876362711040).

5125161128640 is an abundant number, since it is smaller than the sum of its proper divisors (14627564293440).

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

5125161128640 is a wasteful number, since it uses less digits than its factorization.

5125161128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 5125161128640 in words is "five trillion, one hundred twenty-five billion, one hundred sixty-one million, one hundred twenty-eight thousand, six hundred forty".