25053034406400 has 3840 divisors, whose sum is σ = 124593425510400. Its totient is φ = 4761649152000.

The previous prime is 25053034406399. The next prime is 25053034406441. The reversal of 25053034406400 is 460443035052.

25053034406400 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 3 + 0 + 3 + 4 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 48086438140 + ... + 48086438660.

It is an arithmetic number, because the mean of its divisors is an integer number (32446204560).

Almost surely, 2^{25053034406400} is an apocalyptic number.

25053034406400 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 25053034406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62296712755200).

25053034406400 is an abundant number, since it is smaller than the sum of its proper divisors (99540391104000).

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

25053034406400 is a wasteful number, since it uses less digits than its factorization.

25053034406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 25053034406400 in words is "twenty-five trillion, fifty-three billion, thirty-four million, four hundred six thousand, four hundred".