25738675200 has 396 divisors, whose sum is σ = 105328466880. Its totient is φ = 5882757120.

The previous prime is 25738675187. The next prime is 25738675241. The reversal of 25738675200 is 257683752.

25738675200 is a `hidden beast` number, since 2 + 573 + 8 + 6 + 75 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1604821 + ... + 1620779.

Almost surely, 2^25738675200 is an apocalyptic number.

25738675200 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 25738675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52664233440).

25738675200 is an abundant number, since it is smaller than the sum of its proper divisors (79589791680).

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

25738675200 is a wasteful number, since it uses less digits than its factorization.

25738675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 25738675200 in words is "twenty-five billion, seven hundred thirty-eight million, six hundred seventy-five thousand, two hundred".