25765080000 has 560 divisors, whose sum is σ = 94267324800. Its totient is φ = 6156800000.

The previous prime is 25765079993. The next prime is 25765080007. The reversal of 25765080000 is 8056752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25765079993) and next prime (25765080007).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25765080007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172919926 + ... + 172920074.

Almost surely, 2^25765080000 is an apocalyptic number.

25765080000 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 25765080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47133662400).

25765080000 is an abundant number, since it is smaller than the sum of its proper divisors (68502244800).

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

25765080000 is a wasteful number, since it uses less digits than its factorization.

25765080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 25765080000 in words is "twenty-five billion, seven hundred sixty-five million, eighty thousand".