2528813999712 has 768 divisors, whose sum is σ = 9256532705280. Its totient is φ = 586633881600.

The previous prime is 2528813999707. The next prime is 2528813999753. The reversal of 2528813999712 is 2179993188252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503444433 + ... + 503449455.

It is an arithmetic number, because the mean of its divisors is an integer number (12052776960).

Almost surely, 2^{2528813999712} is an apocalyptic number.

2528813999712 is a gapful number since it is divisible by the number (22) 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 2528813999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628266352640).

2528813999712 is an abundant number, since it is smaller than the sum of its proper divisors (6727718705568).

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

2528813999712 is a wasteful number, since it uses less digits than its factorization.

2528813999712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5090 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 2528813999712 in words is "two trillion, five hundred twenty-eight billion, eight hundred thirteen million, nine hundred ninety-nine thousand, seven hundred twelve".