25474987200 has 336 divisors, whose sum is σ = 94750046720. Its totient is φ = 5940449280.

The previous prime is 25474987199. The next prime is 25474987249. The reversal of 25474987200 is 278947452.

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 25474987200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1174857 + ... + 1196343.

Almost surely, 2^25474987200 is an apocalyptic number.

25474987200 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 25474987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47375023360).

25474987200 is an abundant number, since it is smaller than the sum of its proper divisors (69275059520).

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

25474987200 is a wasteful number, since it uses less digits than its factorization.

25474987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21544 (or 21529 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 25474987200 in words is "twenty-five billion, four hundred seventy-four million, nine hundred eighty-seven thousand, two hundred".