25733344896 has 480 divisors, whose sum is σ = 91559744100. Its totient is φ = 7153671168.

The previous prime is 25733344841. The next prime is 25733344913. The reversal of 25733344896 is 69844333752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23629838400 + 2103506496 = 153720^2 + 45864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 695495790 + ... + 695495826.

Almost surely, 2^25733344896 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 25733344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45779872050).

25733344896 is an abundant number, since it is smaller than the sum of its proper divisors (65826399204).

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

25733344896 is an frugal number, since it uses more digits than its factorization.

25733344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 49 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 25733344896 in words is "twenty-five billion, seven hundred thirty-three million, three hundred forty-four thousand, eight hundred ninety-six".