25484995200 has 384 divisors, whose sum is σ = 96247232640. Its totient is φ = 5806080000.

The previous prime is 25484995199. The next prime is 25484995223. The reversal of 25484995200 is 259948452.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25484995200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36354850 + ... + 36355550.

It is an arithmetic number, because the mean of its divisors is an integer number (250643835).

Almost surely, 2^25484995200 is an apocalyptic number.

25484995200 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 25484995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48123616320).

25484995200 is an abundant number, since it is smaller than the sum of its proper divisors (70762237440).

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

25484995200 is a wasteful number, since it uses less digits than its factorization.

25484995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 25484995200 in words is "twenty-five billion, four hundred eighty-four million, nine hundred ninety-five thousand, two hundred".