25063668400 has 120 divisors (see below), whose sum is σ = 60838449840. Its totient is φ = 9922298880.

The previous prime is 25063668397. The next prime is 25063668407. The reversal of 25063668400 is 486636052.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (25063668407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19906971 + ... + 19908229.

It is an arithmetic number, because the mean of its divisors is an integer number (506987082).

Almost surely, 2^25063668400 is an apocalyptic number.

25063668400 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 25063668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30419224920).

25063668400 is an abundant number, since it is smaller than the sum of its proper divisors (35774781440).

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

25063668400 is a wasteful number, since it uses less digits than its factorization.

25063668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 25063668400 in words is "twenty-five billion, sixty-three million, six hundred sixty-eight thousand, four hundred".