25776368640 has 1056 divisors, whose sum is σ = 106635271680. Its totient is φ = 5887918080.

The previous prime is 25776368627. The next prime is 25776368647. The reversal of 25776368640 is 4686367752.

25776368640 is a `hidden beast` number, since 2 + 577 + 6 + 3 + 6 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (25776368647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384721887 + ... + 384721953.

Almost surely, 2^25776368640 is an apocalyptic number.

25776368640 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 25776368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317635840).

25776368640 is an abundant number, since it is smaller than the sum of its proper divisors (80858903040).

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

25776368640 is a wasteful number, since it uses less digits than its factorization.

25776368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 25776368640 in words is "twenty-five billion, seven hundred seventy-six million, three hundred sixty-eight thousand, six hundred forty".