25724448201600 has 3072 divisors, whose sum is σ = 106202524032000. Its totient is φ = 6055575552000.

The previous prime is 25724448201593. The next prime is 25724448201601. The reversal of 25724448201600 is 610284442752.

25724448201600 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 4 + 4 + 482 + 0 + 160 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25724448201601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 196369833535 + ... + 196369833665.

It is an arithmetic number, because the mean of its divisors is an integer number (34571134125).

Almost surely, 2^{25724448201600} is an apocalyptic number.

25724448201600 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 25724448201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53101262016000).

25724448201600 is an abundant number, since it is smaller than the sum of its proper divisors (80478075830400).

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

25724448201600 is a wasteful number, since it uses less digits than its factorization.

25724448201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 25724448201600 in words is "twenty-five trillion, seven hundred twenty-four billion, four hundred forty-eight million, two hundred one thousand, six hundred".