25987463712000 has 4608 divisors, whose sum is σ = 124966117785600. Its totient is φ = 5175705600000.

The previous prime is 25987463711971. The next prime is 25987463712029. The reversal of 25987463712000 is 21736478952.

It is a happy number.

25987463712000 is a `hidden beast` number, since 2 + 5 + 98 + 7 + 463 + 71 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25987463711971) and next prime (25987463712029).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 103535711875 + ... + 103535712125.

It is an arithmetic number, because the mean of its divisors is an integer number (27119383200).

It is a 1-persistent number, because it is pandigital, but 2⋅25987463712000 = 51974927424000 is not.

Almost surely, 2^{25987463712000} is an apocalyptic number.

25987463712000 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 25987463712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62483058892800).

25987463712000 is an abundant number, since it is smaller than the sum of its proper divisors (98978654073600).

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

25987463712000 is a wasteful number, since it uses less digits than its factorization.

25987463712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 25987463712000 in words is "twenty-five trillion, nine hundred eighty-seven billion, four hundred sixty-three million, seven hundred twelve thousand".