25276567680 has 864 divisors, whose sum is σ = 110676990060. Its totient is φ = 5268824064.

The previous prime is 25276567643. The next prime is 25276567697. The reversal of 25276567680 is 8676567252.

25276567680 is a `hidden beast` number, since 2 + 5 + 2 + 76 + 567 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23526651456 + 1749916224 = 153384^2 + 41832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304536919 + ... + 304537001.

Almost surely, 2^25276567680 is an apocalyptic number.

25276567680 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 25276567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55338495030).

25276567680 is an abundant number, since it is smaller than the sum of its proper divisors (85400422380).

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

25276567680 is a wasteful number, since it uses less digits than its factorization.

25276567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 25276567680 in words is "twenty-five billion, two hundred seventy-six million, five hundred sixty-seven thousand, six hundred eighty".