25406244864 has 1344 divisors, whose sum is σ = 108279400320. Its totient is φ = 5733089280.

The previous prime is 25406244841. The next prime is 25406244917. The reversal of 25406244864 is 46844260452.

25406244864 is a `hidden beast` number, since 2 + 540 + 6 + 2 + 4 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1494484984 + ... + 1494485000.

It is an arithmetic number, because the mean of its divisors is an integer number (80565030).

Almost surely, 2^25406244864 is an apocalyptic number.

25406244864 is a gapful number since it is divisible by the number (24) 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 25406244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54139700160).

25406244864 is an abundant number, since it is smaller than the sum of its proper divisors (82873155456).

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

25406244864 is a wasteful number, since it uses less digits than its factorization.

25406244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 25406244864 in words is "twenty-five billion, four hundred six million, two hundred forty-four thousand, eight hundred sixty-four".