25802995290072 has 512 divisors, whose sum is σ = 91411117056000. Its totient is φ = 5845421998080.

The previous prime is 25802995290049. The next prime is 25802995290073. The reversal of 25802995290072 is 27009259920852.

It is a junction number, because it is equal to n+sod(n) for n = 25802995289988 and 25802995290015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25802995290073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172922248 + ... + 173071400.

It is an arithmetic number, because the mean of its divisors is an integer number (178537338000).

Almost surely, 2^{25802995290072} is an apocalyptic number.

25802995290072 is a gapful number since it is divisible by the number (22) 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 25802995290072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45705558528000).

25802995290072 is an abundant number, since it is smaller than the sum of its proper divisors (65608121765928).

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

25802995290072 is a wasteful number, since it uses less digits than its factorization.

25802995290072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149591 (or 149587 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 25802995290072 in words is "twenty-five trillion, eight hundred two billion, nine hundred ninety-five million, two hundred ninety thousand, seventy-two".