25997502960000 has 2560 divisors, whose sum is σ = 119292634137600. Its totient is φ = 5474304000000.

The previous prime is 25997502959957. The next prime is 25997502960031. The reversal of 25997502960000 is 6920579952.

It is a happy number.

25997502960000 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 7 + 5 + 0 + 29 + 600 + 0 + 0 = 666.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5250957525 + ... + 5250962475.

It is an arithmetic number, because the mean of its divisors is an integer number (46598685210).

Almost surely, 2^{25997502960000} is an apocalyptic number.

25997502960000 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 25997502960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59646317068800).

25997502960000 is an abundant number, since it is smaller than the sum of its proper divisors (93295131177600).

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

25997502960000 is a wasteful number, since it uses less digits than its factorization.

25997502960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 25997502960000 in words is "twenty-five trillion, nine hundred ninety-seven billion, five hundred two million, nine hundred sixty thousand".