25454866864896 has 1440 divisors, whose sum is σ = 94270569845760. Its totient is φ = 6671381004288.

The previous prime is 25454866864891. The next prime is 25454866864913. The reversal of 25454866864896 is 69846866845452.

25454866864896 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 486 + 6 + 8 + 6 + 48 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (25454866864891) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15781069786 + ... + 15781071398.

It is an arithmetic number, because the mean of its divisors is an integer number (65465673504).

Almost surely, 2^{25454866864896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25454866864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47135284922880).

25454866864896 is an abundant number, since it is smaller than the sum of its proper divisors (68815702980864).

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

25454866864896 is a wasteful number, since it uses less digits than its factorization.

25454866864896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1840 counting only the distinct ones).

The product of its digits is 19110297600, while the sum is 81.

The spelling of 25454866864896 in words is "twenty-five trillion, four hundred fifty-four billion, eight hundred sixty-six million, eight hundred sixty-four thousand, eight hundred ninety-six".