25755793560 has 576 divisors, whose sum is σ = 106952620320. Its totient is φ = 5539000320.

The previous prime is 25755793559. The next prime is 25755793561. The reversal of 25755793560 is 6539755752.

25755793560 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 5 + 79 + 3 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (25755793559) and next prime (25755793561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25755793497 and 25755793506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25755793561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8095170 + ... + 8098350.

Almost surely, 2^25755793560 is an apocalyptic number.

25755793560 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 25755793560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53476310160).

25755793560 is an abundant number, since it is smaller than the sum of its proper divisors (81196826760).

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

25755793560 is a wasteful number, since it uses less digits than its factorization.

25755793560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 25755793560 in words is "twenty-five billion, seven hundred fifty-five million, seven hundred ninety-three thousand, five hundred sixty".