5027725345104 has 1440 divisors, whose sum is σ = 19338862233600. Its totient is φ = 1201324400640.

The previous prime is 5027725345091. The next prime is 5027725345171. The reversal of 5027725345104 is 4015435277205.

5027725345104 is a `hidden beast` number, since 5 + 0 + 2 + 7 + 7 + 2 + 534 + 5 + 104 = 666.

It is a super-2 number, since 2×5027725345104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5027725345104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14489121859 + ... + 14489122205.

It is an arithmetic number, because the mean of its divisors is an integer number (13429765440).

Almost surely, 2^{5027725345104} 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 5027725345104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669431116800).

5027725345104 is an abundant number, since it is smaller than the sum of its proper divisors (14311136888496).

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

5027725345104 is a wasteful number, since it uses less digits than its factorization.

5027725345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 5027725345104 in words is "five trillion, twenty-seven billion, seven hundred twenty-five million, three hundred forty-five thousand, one hundred four".