25056465223680 has 1536 divisors, whose sum is σ = 101558215886400. Its totient is φ = 5647210905600.

The previous prime is 25056465223667. The next prime is 25056465223703. The reversal of 25056465223680 is 8632256465052.

25056465223680 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 6 + 4 + 6 + 522 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×25056465223680³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24541101570 + ... + 24541102590.

Almost surely, 2^{25056465223680} is an apocalyptic number.

25056465223680 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 25056465223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50779107943200).

25056465223680 is an abundant number, since it is smaller than the sum of its proper divisors (76501750662720).

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

25056465223680 is a wasteful number, since it uses less digits than its factorization.

25056465223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 25056465223680 in words is "twenty-five trillion, fifty-six billion, four hundred sixty-five million, two hundred twenty-three thousand, six hundred eighty".