25771505760 has 1152 divisors, whose sum is σ = 124427197440. Its totient is φ = 4678041600.

The previous prime is 25771505729. The next prime is 25771505789. The reversal of 25771505760 is 6750517752.

It is a happy number.

25771505760 is a `hidden beast` number, since 2 + 5 + 7 + 71 + 5 + 0 + 576 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27386890 + ... + 27387830.

It is an arithmetic number, because the mean of its divisors is an integer number (108009720).

Almost surely, 2^25771505760 is an apocalyptic number.

25771505760 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 25771505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62213598720).

25771505760 is an abundant number, since it is smaller than the sum of its proper divisors (98655691680).

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

25771505760 is a wasteful number, since it uses less digits than its factorization.

25771505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 25771505760 in words is "twenty-five billion, seven hundred seventy-one million, five hundred five thousand, seven hundred sixty".