25416528900 has 72 divisors (see below), whose sum is σ = 84043995840. Its totient is φ = 5809491840.

The previous prime is 25416528869. The next prime is 25416528911. The reversal of 25416528900 is 982561452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6049455 + ... + 6053654.

It is an arithmetic number, because the mean of its divisors is an integer number (1167277720).

Almost surely, 2^25416528900 is an apocalyptic number.

25416528900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25416528900 is an abundant number, since it is smaller than the sum of its proper divisors (58627466940).

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

25416528900 is a wasteful number, since it uses less digits than its factorization.

25416528900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103133 (or 12103126 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

It can be divided in two parts, 2541652 and 8900, that added together give a palindrome (2550552).

The spelling of 25416528900 in words is "twenty-five billion, four hundred sixteen million, five hundred twenty-eight thousand, nine hundred".