25676856576 has 1152 divisors, whose sum is σ = 101722521600. Its totient is φ = 6210846720.

The previous prime is 25676856551. The next prime is 25676856599. The reversal of 25676856576 is 67565867652.

25676856576 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 6 + 8 + 56 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 484468966 + ... + 484469018.

It is an arithmetic number, because the mean of its divisors is an integer number (88300800).

Almost surely, 2^25676856576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25676856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50861260800).

25676856576 is an abundant number, since it is smaller than the sum of its proper divisors (76045665024).

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

25676856576 is a wasteful number, since it uses less digits than its factorization.

25676856576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 25676856576 in words is "twenty-five billion, six hundred seventy-six million, eight hundred fifty-six thousand, five hundred seventy-six".