25955263488000 has 1792 divisors, whose sum is σ = 108465127280640. Its totient is φ = 5354422272000.

The previous prime is 25955263487953. The next prime is 25955263488001. The reversal of 25955263488000 is 88436255952.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×25955263488000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25955263488001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42341375694 + ... + 42341376306.

Almost surely, 2^{25955263488000} is an apocalyptic number.

25955263488000 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 25955263488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54232563640320).

25955263488000 is an abundant number, since it is smaller than the sum of its proper divisors (82509863792640).

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

25955263488000 is a wasteful number, since it uses less digits than its factorization.

25955263488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 25955263488000 in words is "twenty-five trillion, nine hundred fifty-five billion, two hundred sixty-three million, four hundred eighty-eight thousand".