25481932560 has 840 divisors, whose sum is σ = 106563119256. Its totient is φ = 5643509760.

The previous prime is 25481932549. The next prime is 25481932579. The reversal of 25481932560 is 6523918452.

25481932560 is a `hidden beast` number, since 2 + 5 + 4 + 81 + 9 + 3 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10109900304 + 15372032256 = 100548^2 + 123984^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 105734040 + ... + 105734280.

Almost surely, 2^25481932560 is an apocalyptic number.

25481932560 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 25481932560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53281559628).

25481932560 is an abundant number, since it is smaller than the sum of its proper divisors (81081186696).

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

25481932560 is a wasteful number, since it uses less digits than its factorization.

25481932560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25481932560 in words is "twenty-five billion, four hundred eighty-one million, nine hundred thirty-two thousand, five hundred sixty".