25463842560 has 864 divisors, whose sum is σ = 103357558080. Its totient is φ = 5900304384.

The previous prime is 25463842531. The next prime is 25463842589. The reversal of 25463842560 is 6524836452.

25463842560 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 3 + 84 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (25463842531) and next prime (25463842589).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 162190002 + ... + 162190158.

Almost surely, 2^25463842560 is an apocalyptic number.

25463842560 is a gapful number since it is divisible by the number (20) 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 25463842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51678779040).

25463842560 is an abundant number, since it is smaller than the sum of its proper divisors (77893715520).

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

25463842560 is a wasteful number, since it uses less digits than its factorization.

25463842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 25463842560 in words is "twenty-five billion, four hundred sixty-three million, eight hundred forty-two thousand, five hundred sixty".