25200941472 has 216 divisors, whose sum is σ = 84195778212. Its totient is φ = 7128576000.

The previous prime is 25200941471. The next prime is 25200941473. The reversal of 25200941472 is 27414900252.

25200941472 is a `hidden beast` number, since 2 + 520 + 0 + 94 + 1 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25200941471) and next prime (25200941473).

It can be written as a sum of positive squares in 2 ways, for example, as 24437192976 + 763748496 = 156324^2 + 27636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25200941471) 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 35 ways as a sum of consecutive naturals, for example, 1416472 + ... + 1434152.

Almost surely, 2^25200941472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25200941472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42097889106).

25200941472 is an abundant number, since it is smaller than the sum of its proper divisors (58994836740).

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

25200941472 is a wasteful number, since it uses less digits than its factorization.

25200941472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17812 (or 17794 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 25200941472 in words is "twenty-five billion, two hundred million, nine hundred forty-one thousand, four hundred seventy-two".