25053258700800 has 1728 divisors, whose sum is σ = 106488778032000. Its totient is φ = 5753128550400.

The previous prime is 25053258700753. The next prime is 25053258700807. The reversal of 25053258700800 is 800785235052.

25053258700800 is a `hidden beast` number, since 250 + 5 + 3 + 258 + 70 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25053258700807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3178133659 + ... + 3178141541.

It is an arithmetic number, because the mean of its divisors is an integer number (61625450250).

Almost surely, 2^{25053258700800} is an apocalyptic number.

25053258700800 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 25053258700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53244389016000).

25053258700800 is an abundant number, since it is smaller than the sum of its proper divisors (81435519331200).

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

25053258700800 is a wasteful number, since it uses less digits than its factorization.

25053258700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 25053258700800 in words is "twenty-five trillion, fifty-three billion, two hundred fifty-eight million, seven hundred thousand, eight hundred".