25775746560 has 480 divisors, whose sum is σ = 96723586080. Its totient is φ = 6505463808.

The previous prime is 25775746553. The next prime is 25775746561. The reversal of 25775746560 is 6564757752.

25775746560 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 5 + 74 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×25775746560² (a number of 22 digits) contains 22 as substring.

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 = 25775746497 and 25775746506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25775746561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24951804 + ... + 24952836.

It is an arithmetic number, because the mean of its divisors is an integer number (201507471).

Almost surely, 2^25775746560 is an apocalyptic number.

25775746560 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 25775746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48361793040).

25775746560 is an abundant number, since it is smaller than the sum of its proper divisors (70947839520).

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

25775746560 is a wasteful number, since it uses less digits than its factorization.

25775746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 25775746560 in words is "twenty-five billion, seven hundred seventy-five million, seven hundred forty-six thousand, five hundred sixty".