5295138600960 has 1536 divisors, whose sum is σ = 21551860512000. Its totient is φ = 1223568654336.

The previous prime is 5295138600949. The next prime is 5295138600967. The reversal of 5295138600960 is 690068315925.

It is a happy number.

5295138600960 is a `hidden beast` number, since 5 + 2 + 9 + 513 + 8 + 60 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×5295138600960² (a number of 26 digits) contains 22 as substring.

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 = 5295138600897 and 5295138600906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295138600967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3856618834 + ... + 3856620206.

Almost surely, 2^{5295138600960} 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 5295138600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775930256000).

5295138600960 is an abundant number, since it is smaller than the sum of its proper divisors (16256721911040).

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

5295138600960 is a wasteful number, since it uses less digits than its factorization.

5295138600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 5295138600960 in words is "five trillion, two hundred ninety-five billion, one hundred thirty-eight million, six hundred thousand, nine hundred sixty".