25554880512000 has 2400 divisors, whose sum is σ = 111034895811840. Its totient is φ = 5726719180800.

The previous prime is 25554880511989. The next prime is 25554880512001. The reversal of 25554880512000 is 21508845552.

25554880512000 is a `hidden beast` number, since 2 + 5 + 5 + 54 + 8 + 80 + 512 + 0 + 0 + 0 = 666.

25554880512000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

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 (25554880512001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68511743814 + ... + 68511744186.

Almost surely, 2^{25554880512000} is an apocalyptic number.

25554880512000 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 25554880512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55517447905920).

25554880512000 is an abundant number, since it is smaller than the sum of its proper divisors (85480015299840).

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

25554880512000 is an frugal number, since it uses more digits than its factorization.

25554880512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

The spelling of 25554880512000 in words is "twenty-five trillion, five hundred fifty-four billion, eight hundred eighty million, five hundred twelve thousand".