25071222400 has 288 divisors, whose sum is σ = 72670348800. Its totient is φ = 8521390080.

The previous prime is 25071222391. The next prime is 25071222403. The reversal of 25071222400 is 422217052.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25071222403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19912971 + ... + 19914229.

It is an arithmetic number, because the mean of its divisors is an integer number (252327600).

Almost surely, 2^25071222400 is an apocalyptic number.

25071222400 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 25071222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36335174400).

25071222400 is an abundant number, since it is smaller than the sum of its proper divisors (47599126400).

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

25071222400 is a wasteful number, since it uses less digits than its factorization.

25071222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

Adding to 25071222400 its reverse (422217052), we get a palindrome (25493439452).

The spelling of 25071222400 in words is "twenty-five billion, seventy-one million, two hundred twenty-two thousand, four hundred".