25672723200 has 270 divisors, whose sum is σ = 94925671764. Its totient is φ = 6845921280.

The previous prime is 25672723199. The next prime is 25672723243. The reversal of 25672723200 is 232727652.

25672723200 is a `hidden beast` number, since 2 + 5 + 67 + 272 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 493639 + ... + 543161.

Almost surely, 2^25672723200 is an apocalyptic number.

25672723200 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 25672723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47462835882).

25672723200 is an abundant number, since it is smaller than the sum of its proper divisors (69252948564).

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

25672723200 is an equidigital number, since it uses as much as digits as its factorization.

25672723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49561 (or 49533 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 25672723200 in words is "twenty-five billion, six hundred seventy-two million, seven hundred twenty-three thousand, two hundred".