25840728535200 has 288 divisors, whose sum is σ = 84337697041920. Its totient is φ = 6872360140800.

The previous prime is 25840728535151. The next prime is 25840728535267. The reversal of 25840728535200 is 253582704852.

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, 1467463996 + ... + 1467481604.

It is an arithmetic number, because the mean of its divisors is an integer number (292839225840).

Almost surely, 2^{25840728535200} is an apocalyptic number.

25840728535200 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 25840728535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42168848520960).

25840728535200 is an abundant number, since it is smaller than the sum of its proper divisors (58496968506720).

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

25840728535200 is a wasteful number, since it uses less digits than its factorization.

25840728535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19240 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 25840728535200 in words is "twenty-five trillion, eight hundred forty billion, seven hundred twenty-eight million, five hundred thirty-five thousand, two hundred".