25865838768 has 160 divisors (see below), whose sum is σ = 83563794432. Its totient is φ = 6697785600.

The previous prime is 25865838763. The next prime is 25865838829. The reversal of 25865838768 is 86783856852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 25865838699 and 25865838708.

It is not an unprimeable number, because it can be changed into a prime (25865838763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212805 + ... + 1233947.

Almost surely, 2^25865838768 is an apocalyptic number.

25865838768 is a gapful number since it is divisible by the number (28) 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 25865838768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41781897216).

25865838768 is an abundant number, since it is smaller than the sum of its proper divisors (57697955664).

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

25865838768 is a wasteful number, since it uses less digits than its factorization.

25865838768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21503 (or 21497 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 25865838768 in words is "twenty-five billion, eight hundred sixty-five million, eight hundred thirty-eight thousand, seven hundred sixty-eight".