25814880945 has 288 divisors, whose sum is σ = 56442147840. Its totient is φ = 10860272640.

The previous prime is 25814880941. The next prime is 25814880997. The reversal of 25814880945 is 54908841852.

It is not a de Polignac number, because 25814880945 - 2² = 25814880941 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25814880891 and 25814880900.

It is not an unprimeable number, because it can be changed into a prime (25814880941) 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 287 ways as a sum of consecutive naturals, for example, 149218879 + ... + 149219051.

It is an arithmetic number, because the mean of its divisors is an integer number (195979680).

Almost surely, 2^25814880945 is an apocalyptic number.

It is an amenable number.

25814880945 is an abundant number, since it is smaller than the sum of its proper divisors (30627266895).

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

25814880945 is a wasteful number, since it uses less digits than its factorization.

25814880945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 25814880945 in words is "twenty-five billion, eight hundred fourteen million, eight hundred eighty thousand, nine hundred forty-five".