25530006902400 has 6048 divisors, whose sum is σ = 132209454705120. Its totient is φ = 4728007065600.

The previous prime is 25530006902341. The next prime is 25530006902431. The reversal of 25530006902400 is 420960003552.

25530006902400 is a `hidden beast` number, since 2 + 55 + 300 + 0 + 69 + 0 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 880345065586 + ... + 880345065614.

Almost surely, 2^{25530006902400} is an apocalyptic number.

25530006902400 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 25530006902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66104727352560).

25530006902400 is an abundant number, since it is smaller than the sum of its proper divisors (106679447802720).

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

25530006902400 is a wasteful number, since it uses less digits than its factorization.

25530006902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 25530006902400 its reverse (420960003552), we get a palindrome (25950966905952).

The spelling of 25530006902400 in words is "twenty-five trillion, five hundred thirty billion, six million, nine hundred two thousand, four hundred".