25740745200 has 90 divisors (see below), whose sum is σ = 89327548544. Its totient is φ = 6864197760.

The previous prime is 25740745139. The next prime is 25740745201. The reversal of 25740745200 is 254704752.

It is a happy number.

25740745200 is a `hidden beast` number, since 2 + 5 + 7 + 407 + 45 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25740745201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3571504 + ... + 3578703.

Almost surely, 2^25740745200 is an apocalyptic number.

25740745200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25740745200 is an abundant number, since it is smaller than the sum of its proper divisors (63586803344).

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

25740745200 is a wasteful number, since it uses less digits than its factorization.

25740745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150231 (or 7150217 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 25740745200 in words is "twenty-five billion, seven hundred forty million, seven hundred forty-five thousand, two hundred".