25381366560 has 864 divisors, whose sum is σ = 101725618176. Its totient is φ = 5748019200.

The previous prime is 25381366553. The next prime is 25381366603. The reversal of 25381366560 is 6566318352.

25381366560 is a `hidden beast` number, since 2 + 5 + 3 + 81 + 3 + 6 + 6 + 560 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 199853217 + ... + 199853343.

It is an arithmetic number, because the mean of its divisors is an integer number (117737984).

Almost surely, 2^25381366560 is an apocalyptic number.

25381366560 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 25381366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50862809088).

25381366560 is an abundant number, since it is smaller than the sum of its proper divisors (76344251616).

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

25381366560 is a wasteful number, since it uses less digits than its factorization.

25381366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25381366560 in words is "twenty-five billion, three hundred eighty-one million, three hundred sixty-six thousand, five hundred sixty".