25988427433968 has 160 divisors (see below), whose sum is σ = 68033463912960. Its totient is φ = 8547767377920.

The previous prime is 25988427433963. The next prime is 25988427433979. The reversal of 25988427433968 is 86933472488952.

It is a junction number, because it is equal to n+sod(n) for n = 25988427433893 and 25988427433902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25988427433963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736142388 + ... + 1736157356.

It is an arithmetic number, because the mean of its divisors is an integer number (425209149456).

Almost surely, 2^{25988427433968} 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 25988427433968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34016731956480).

25988427433968 is an abundant number, since it is smaller than the sum of its proper divisors (42045036478992).

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

25988427433968 is a wasteful number, since it uses less digits than its factorization.

25988427433968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16327 (or 16321 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 78.

The spelling of 25988427433968 in words is "twenty-five trillion, nine hundred eighty-eight billion, four hundred twenty-seven million, four hundred thirty-three thousand, nine hundred sixty-eight".