25278129478008 has 320 divisors, whose sum is σ = 82934073573120. Its totient is φ = 7107904742400.

The previous prime is 25278129477949. The next prime is 25278129478051. The reversal of 25278129478008 is 80087492187252.

25278129478008 is a `hidden beast` number, since 2 + 5 + 278 + 1 + 294 + 78 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7134435 + ... + 10072557.

It is an arithmetic number, because the mean of its divisors is an integer number (259168979916).

Almost surely, 2^{25278129478008} 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 25278129478008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41467036786560).

25278129478008 is an abundant number, since it is smaller than the sum of its proper divisors (57655944095112).

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

25278129478008 is a wasteful number, since it uses less digits than its factorization.

25278129478008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938240 (or 2938227 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 25278129478008 in words is "twenty-five trillion, two hundred seventy-eight billion, one hundred twenty-nine million, four hundred seventy-eight thousand, eight".