25945906896 has 360 divisors, whose sum is σ = 92476284264. Its totient is φ = 6729246720.

The previous prime is 25945906891. The next prime is 25945906901. The reversal of 25945906896 is 69860954952.

It is an interprime number because it is at equal distance from previous prime (25945906891) and next prime (25945906901).

It can be written as a sum of positive squares in 4 ways, for example, as 1403551296 + 24542355600 = 37464^2 + 156660^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25945906891) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5593090 + ... + 5597726.

Almost surely, 2^25945906896 is an apocalyptic number.

25945906896 is a gapful number since it is divisible by the number (26) 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 25945906896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46238142132).

25945906896 is an abundant number, since it is smaller than the sum of its proper divisors (66530377368).

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

25945906896 is a wasteful number, since it uses less digits than its factorization.

25945906896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 25945906896 in words is "twenty-five billion, nine hundred forty-five million, nine hundred six thousand, eight hundred ninety-six".