2528963760960 has 3584 divisors, whose sum is σ = 12304829644800. Its totient is φ = 474054819840.

The previous prime is 2528963760913. The next prime is 2528963760989. The reversal of 2528963760960 is 690673698252.

2528963760960 is a `hidden beast` number, since 252 + 8 + 9 + 6 + 376 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19913100417 + ... + 19913100543.

It is an arithmetic number, because the mean of its divisors is an integer number (3433267200).

Almost surely, 2^{2528963760960} is an apocalyptic number.

2528963760960 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 2528963760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152414822400).

2528963760960 is an abundant number, since it is smaller than the sum of its proper divisors (9775865883840).

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

2528963760960 is a wasteful number, since it uses less digits than its factorization.

2528963760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

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

The spelling of 2528963760960 in words is "two trillion, five hundred twenty-eight billion, nine hundred sixty-three million, seven hundred sixty thousand, nine hundred sixty".