25050912768000 has 3840 divisors, whose sum is σ = 115888102686720. Its totient is φ = 5274442137600.

The previous prime is 25050912767999. The next prime is 25050912768023. The reversal of 25050912768000 is 86721905052.

25050912768000 is a `hidden beast` number, since 2 + 50 + 509 + 12 + 7 + 6 + 80 + 0 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 532998143977 + ... + 532998144023.

It is an arithmetic number, because the mean of its divisors is an integer number (30179193408).

Almost surely, 2^{25050912768000} is an apocalyptic number.

25050912768000 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 25050912768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57944051343360).

25050912768000 is an abundant number, since it is smaller than the sum of its proper divisors (90837189918720).

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

25050912768000 is an frugal number, since it uses more digits than its factorization.

25050912768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25050912768000 in words is "twenty-five trillion, fifty billion, nine hundred twelve million, seven hundred sixty-eight thousand".