25765600990080 has 512 divisors, whose sum is σ = 95004486835200. Its totient is φ = 5817619906560.

The previous prime is 25765600990079. The next prime is 25765600990109. The reversal of 25765600990080 is 8009900656752.

It is a super-3 number, since 3×25765600990080³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25765600990080.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1343278090 + ... + 1343297270.

It is an arithmetic number, because the mean of its divisors is an integer number (185555638350).

Almost surely, 2^{25765600990080} is an apocalyptic number.

25765600990080 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 25765600990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47502243417600).

25765600990080 is an abundant number, since it is smaller than the sum of its proper divisors (69238885845120).

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

25765600990080 is a wasteful number, since it uses less digits than its factorization.

25765600990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20422 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 25765600990080 in words is "twenty-five trillion, seven hundred sixty-five billion, six hundred million, nine hundred ninety thousand, eighty".