25677751680 has 768 divisors, whose sum is σ = 106572211200. Its totient is φ = 5786836992.

The previous prime is 25677751669. The next prime is 25677751703. The reversal of 25677751680 is 8615777652.

It is a happy number.

25677751680 is a `hidden beast` number, since 2 + 56 + 7 + 77 + 516 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112129806 + ... + 112130034.

It is an arithmetic number, because the mean of its divisors is an integer number (138765900).

Almost surely, 2^25677751680 is an apocalyptic number.

25677751680 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 25677751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53286105600).

25677751680 is an abundant number, since it is smaller than the sum of its proper divisors (80894459520).

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

25677751680 is a wasteful number, since it uses less digits than its factorization.

25677751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 25677751680 in words is "twenty-five billion, six hundred seventy-seven million, seven hundred fifty-one thousand, six hundred eighty".