25683654414000 has 640 divisors, whose sum is σ = 92959910184960. Its totient is φ = 6045866496000.

The previous prime is 25683654413947. The next prime is 25683654414079. The reversal of 25683654414000 is 41445638652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1242967669 + ... + 1242988331.

It is an arithmetic number, because the mean of its divisors is an integer number (145249859664).

Almost surely, 2^{25683654414000} is an apocalyptic number.

25683654414000 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 25683654414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46479955092480).

25683654414000 is an abundant number, since it is smaller than the sum of its proper divisors (67276255770960).

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

25683654414000 is a wasteful number, since it uses less digits than its factorization.

25683654414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21246 (or 21230 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 25683654414000 in words is "twenty-five trillion, six hundred eighty-three billion, six hundred fifty-four million, four hundred fourteen thousand".