25761120000 has 1440 divisors, whose sum is σ = 115857713664. Its totient is φ = 4915200000.

The previous prime is 25761119971. The next prime is 25761120013. The reversal of 25761120000 is 2116752.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4100 × 3740 × 1680.

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 159 ways as a sum of consecutive naturals, for example, 628319980 + ... + 628320020.

Almost surely, 2^25761120000 is an apocalyptic number.

25761120000 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 25761120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57928856832).

25761120000 is an abundant number, since it is smaller than the sum of its proper divisors (90096593664).

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

25761120000 is a wasteful number, since it uses less digits than its factorization.

25761120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 25761120000 its reverse (2116752), we get a palindrome (25763236752).

The spelling of 25761120000 in words is "twenty-five billion, seven hundred sixty-one million, one hundred twenty thousand".