25478894952000 has 1344 divisors, whose sum is σ = 109296622656000. Its totient is φ = 5794003353600.

The previous prime is 25478894951977. The next prime is 25478894952023. The reversal of 25478894952000 is 25949887452.

25478894952000 is a `hidden beast` number, since 2 + 5 + 47 + 8 + 89 + 495 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25478894951977) and next prime (25478894952023).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2106209952 + ... + 2106222048.

Almost surely, 2^{25478894952000} is an apocalyptic number.

25478894952000 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 25478894952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54648311328000).

25478894952000 is an abundant number, since it is smaller than the sum of its proper divisors (83817727704000).

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

25478894952000 is a wasteful number, since it uses less digits than its factorization.

25478894952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12346 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 25478894952000 in words is "twenty-five trillion, four hundred seventy-eight billion, eight hundred ninety-four million, nine hundred fifty-two thousand".