2528285971200 has 432 divisors, whose sum is σ = 9227150841216. Its totient is φ = 604517990400.

The previous prime is 2528285971177. The next prime is 2528285971241. The reversal of 2528285971200 is 21795828252.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15335607 + ... + 15499593.

Almost surely, 2^{2528285971200} is an apocalyptic number.

2528285971200 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 2528285971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613575420608).

2528285971200 is an abundant number, since it is smaller than the sum of its proper divisors (6698864870016).

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

2528285971200 is a wasteful number, since it uses less digits than its factorization.

2528285971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164100 (or 164081 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 2528285971200 in words is "two trillion, five hundred twenty-eight billion, two hundred eighty-five million, nine hundred seventy-one thousand, two hundred".