25026387627648 has 512 divisors, whose sum is σ = 80051068800000. Its totient is φ = 6841791774720.

The previous prime is 25026387627589. The next prime is 25026387627841. The reversal of 25026387627648 is 84672678362052.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169828303 + ... + 169975601.

It is an arithmetic number, because the mean of its divisors is an integer number (156349743750).

Almost surely, 2^{25026387627648} 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 25026387627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40025534400000).

25026387627648 is an abundant number, since it is smaller than the sum of its proper divisors (55024681172352).

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

25026387627648 is a wasteful number, since it uses less digits than its factorization.

25026387627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147448 (or 147436 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 66.

The spelling of 25026387627648 in words is "twenty-five trillion, twenty-six billion, three hundred eighty-seven million, six hundred twenty-seven thousand, six hundred forty-eight".