2576649216960 has 896 divisors, whose sum is σ = 11325899827200. Its totient is φ = 543631233024.

The previous prime is 2576649216943. The next prime is 2576649216961. The reversal of 2576649216960 is 696129466752.

2576649216960 is a `hidden beast` number, since 2 + 5 + 76 + 6 + 492 + 16 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576649216961) 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, 63665211 + ... + 63705669.

It is an arithmetic number, because the mean of its divisors is an integer number (12640513200).

Almost surely, 2^{2576649216960} is an apocalyptic number.

2576649216960 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 2576649216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662949913600).

2576649216960 is an abundant number, since it is smaller than the sum of its proper divisors (8749250610240).

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

2576649216960 is an equidigital number, since it uses as much as digits as its factorization.

2576649216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40517 (or 40489 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 2576649216960 in words is "two trillion, five hundred seventy-six billion, six hundred forty-nine million, two hundred sixteen thousand, nine hundred sixty".