25726456484928 has 336 divisors, whose sum is σ = 78297417598400. Its totient is φ = 8370955321344.

The previous prime is 25726456484921. The next prime is 25726456484947. The reversal of 25726456484928 is 82948465462752.

It is a happy number.

25726456484928 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 6 + 4 + 56 + 484 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25726456484921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188333048 + ... + 1188354696.

Almost surely, 2^{25726456484928} 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 25726456484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39148708799200).

25726456484928 is an abundant number, since it is smaller than the sum of its proper divisors (52570961113472).

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

25726456484928 is a wasteful number, since it uses less digits than its factorization.

25726456484928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23496 (or 23474 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 72.

The spelling of 25726456484928 in words is "twenty-five trillion, seven hundred twenty-six billion, four hundred fifty-six million, four hundred eighty-four thousand, nine hundred twenty-eight".