25599680001 has 81 divisors (see below), whose sum is σ = 45510992163. Its totient is φ = 13823913600.

The previous prime is 25599679921. The next prime is 25599680011. The reversal of 25599680001 is 10008699552.

The square root of 25599680001 is 159999.

It is a perfect power (a square), and thus also a powerful number.

25599680001 is a `hidden beast` number, since 2 + 559 + 96 + 8 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25344958401 + 254721600 = 159201^2 + 15960^2 .

It is not a de Polignac number, because 25599680001 - 2²⁹ = 25062809089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25599680011) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63839401 + ... + 63839801.

Almost surely, 2^25599680001 is an apocalyptic number.

25599680001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25599680001 is the 159999-th square number.

25599680001 is the 80000-th centered octagonal number.

It is an amenable number.

25599680001 is a deficient number, since it is larger than the sum of its proper divisors (19911312162).

25599680001 is an equidigital number, since it uses as much as digits as its factorization.

25599680001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

It can be divided in two parts, 25599 and 680001, that added together give a square (705600 = 840²).

The spelling of 25599680001 in words is "twenty-five billion, five hundred ninety-nine million, six hundred eighty thousand, one".