25206478566048 has 480 divisors, whose sum is σ = 83806242347520. Its totient is φ = 7378418718720.

The previous prime is 25206478566047. The next prime is 25206478566053. The reversal of 25206478566048 is 84066587460252.

25206478566048 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 64 + 7 + 8 + 566 + 0 + 4 + 8 = 666.

It is a super-3 number, since 3×25206478566048³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25206478566047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61425486 + ... + 61834482.

It is an arithmetic number, because the mean of its divisors is an integer number (174596338224).

Almost surely, 2^{25206478566048} 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 25206478566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41903121173760).

25206478566048 is an abundant number, since it is smaller than the sum of its proper divisors (58599763781472).

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

25206478566048 is a wasteful number, since it uses less digits than its factorization.

25206478566048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409122 (or 409105 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 25206478566048 in words is "twenty-five trillion, two hundred six billion, four hundred seventy-eight million, five hundred sixty-six thousand, forty-eight".