25736000672160 has 1440 divisors, whose sum is σ = 100261836203760. Its totient is φ = 6208362381312.

The previous prime is 25736000672141. The next prime is 25736000672167. The reversal of 25736000672160 is 6127600063752.

25736000672160 is a `hidden beast` number, since 2 + 573 + 6 + 0 + 0 + 0 + 6 + 72 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 82302429456 + 25653698242704 = 286884^2 + 5064948^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25736000672167) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33997358502 + ... + 33997359258.

Almost surely, 2^{25736000672160} is an apocalyptic number.

25736000672160 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 25736000672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50130918101880).

25736000672160 is an abundant number, since it is smaller than the sum of its proper divisors (74525835531600).

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

25736000672160 is a wasteful number, since it uses less digits than its factorization.

25736000672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 25736000672160 in words is "twenty-five trillion, seven hundred thirty-six billion, six hundred seventy-two thousand, one hundred sixty".