2528753672100 has 72 divisors (see below), whose sum is σ = 7552544328448. Its totient is φ = 652581590400.

The previous prime is 2528753672047. The next prime is 2528753672101. The reversal of 2528753672100 is 12763578252.

It is a self number, because there is not a number n which added to its sum of digits gives 2528753672100.

It is not an unprimeable number, because it can be changed into a prime (2528753672101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135945199 + ... + 135963798.

Almost surely, 2^{2528753672100} is an apocalyptic number.

2528753672100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2528753672100 is an abundant number, since it is smaller than the sum of its proper divisors (5023790656348).

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

2528753672100 is a wasteful number, since it uses less digits than its factorization.

2528753672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271909045 (or 271909038 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 2528753672100 in words is "two trillion, five hundred twenty-eight billion, seven hundred fifty-three million, six hundred seventy-two thousand, one hundred".