2575416516960 has 384 divisors, whose sum is σ = 9595979366400. Its totient is φ = 568165570560.

The previous prime is 2575416516943. The next prime is 2575416516971. The reversal of 2575416516960 is 696156145752.

It is a self number, because there is not a number n which added to its sum of digits gives 2575416516960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39444021 + ... + 39509259.

It is an arithmetic number, because the mean of its divisors is an integer number (24989529600).

Almost surely, 2^{2575416516960} is an apocalyptic number.

2575416516960 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 2575416516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797989683200).

2575416516960 is an abundant number, since it is smaller than the sum of its proper divisors (7020562849440).

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

2575416516960 is a wasteful number, since it uses less digits than its factorization.

2575416516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65674 (or 65666 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 57.

The spelling of 2575416516960 in words is "two trillion, five hundred seventy-five billion, four hundred sixteen million, five hundred sixteen thousand, nine hundred sixty".