2595485544960 has 1920 divisors, whose sum is σ = 10987680743424. Its totient is φ = 510935040000.

The previous prime is 2595485544959. The next prime is 2595485544989. The reversal of 2595485544960 is 694455845952.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2595485544891 and 2595485544900.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12300879255 + ... + 12300879465.

Almost surely, 2^{2595485544960} is an apocalyptic number.

2595485544960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2595485544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493840371712).

2595485544960 is an abundant number, since it is smaller than the sum of its proper divisors (8392195198464).

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

2595485544960 is a wasteful number, since it uses less digits than its factorization.

2595485544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 66.

The spelling of 2595485544960 in words is "two trillion, five hundred ninety-five billion, four hundred eighty-five million, five hundred forty-four thousand, nine hundred sixty".