25028482222464 has 256 divisors, whose sum is σ = 78909617318400. Its totient is φ = 6879545671680.

The previous prime is 25028482222459. The next prime is 25028482222493. The reversal of 25028482222464 is 46422228482052.

It is a super-3 number, since 3×25028482222464³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7437799 + ... + 10265369.

It is an arithmetic number, because the mean of its divisors is an integer number (308240692650).

Almost surely, 2^{25028482222464} is an apocalyptic number.

25028482222464 is a gapful number since it is divisible by the number (24) 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 25028482222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39454808659200).

25028482222464 is an abundant number, since it is smaller than the sum of its proper divisors (53881135095936).

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

25028482222464 is a wasteful number, since it uses less digits than its factorization.

25028482222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827721 (or 2827709 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 51.

The spelling of 25028482222464 in words is "twenty-five trillion, twenty-eight billion, four hundred eighty-two million, two hundred twenty-two thousand, four hundred sixty-four".