25025306400 has 864 divisors, whose sum is σ = 99297394560. Its totient is φ = 6131220480.

The previous prime is 25025306351. The next prime is 25025306413. The reversal of 25025306400 is 460352052.

25025306400 is a `hidden beast` number, since 2 + 5 + 0 + 253 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129664704 + ... + 129664896.

It is an arithmetic number, because the mean of its divisors is an integer number (114927540).

Almost surely, 2^25025306400 is an apocalyptic number.

25025306400 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 25025306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49648697280).

25025306400 is an abundant number, since it is smaller than the sum of its proper divisors (74272088160).

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

25025306400 is a wasteful number, since it uses less digits than its factorization.

25025306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 25025306400 its reverse (460352052), we get a palindrome (25485658452).

The spelling of 25025306400 in words is "twenty-five billion, twenty-five million, three hundred six thousand, four hundred".