5260004436960 has 1728 divisors, whose sum is σ = 22998722947200. Its totient is φ = 1065924624384.

The previous prime is 5260004436941. The next prime is 5260004436977. The reversal of 5260004436960 is 696344000625.

5260004436960 is a `hidden beast` number, since 5 + 2 + 600 + 0 + 4 + 4 + 36 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×5260004436960² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19553919706 + ... + 19553919974.

It is an arithmetic number, because the mean of its divisors is an integer number (13309446150).

Almost surely, 2^{5260004436960} 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 5260004436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499361473600).

5260004436960 is an abundant number, since it is smaller than the sum of its proper divisors (17738718510240).

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

5260004436960 is a wasteful number, since it uses less digits than its factorization.

5260004436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 5260004436960 in words is "five trillion, two hundred sixty billion, four million, four hundred thirty-six thousand, nine hundred sixty".