5025335074560 has 1440 divisors, whose sum is σ = 19183834454400. Its totient is φ = 1254272532480.

The previous prime is 5025335074549. The next prime is 5025335074589. The reversal of 5025335074560 is 654705335205.

5025335074560 is a `hidden beast` number, since 5 + 0 + 2 + 5 + 33 + 50 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5025335074560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13998147661 + ... + 13998148019.

It is an arithmetic number, because the mean of its divisors is an integer number (13322107260).

Almost surely, 2^{5025335074560} 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 5025335074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591917227200).

5025335074560 is an abundant number, since it is smaller than the sum of its proper divisors (14158499379840).

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

5025335074560 is a wasteful number, since it uses less digits than its factorization.

5025335074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 5025335074560 in words is "five trillion, twenty-five billion, three hundred thirty-five million, seventy-four thousand, five hundred sixty".