25649813200 has 120 divisors (see below), whose sum is σ = 68865967296. Its totient is φ = 9099648000.

The previous prime is 25649813179. The next prime is 25649813207. The reversal of 25649813200 is 231894652.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25649813207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109309 + ... + 251491.

Almost surely, 2^25649813200 is an apocalyptic number.

25649813200 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 25649813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34432983648).

25649813200 is an abundant number, since it is smaller than the sum of its proper divisors (43216154096).

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

25649813200 is a wasteful number, since it uses less digits than its factorization.

25649813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142253 (or 142242 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 25649813200 in words is "twenty-five billion, six hundred forty-nine million, eight hundred thirteen thousand, two hundred".