25064513280576 has 2688 divisors, whose sum is σ = 100955534131200. Its totient is φ = 5949199872000.

The previous prime is 25064513280559. The next prime is 25064513280577. The reversal of 25064513280576 is 67508231546052.

25064513280576 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 45 + 1 + 3 + 28 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25064513280577) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 165990154101 + ... + 165990154251.

It is an arithmetic number, because the mean of its divisors is an integer number (37557862400).

Almost surely, 2^{25064513280576} 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 25064513280576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477767065600).

25064513280576 is an abundant number, since it is smaller than the sum of its proper divisors (75891020850624).

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

25064513280576 is a wasteful number, since it uses less digits than its factorization.

25064513280576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 25064513280576 in words is "twenty-five trillion, sixty-four billion, five hundred thirteen million, two hundred eighty thousand, five hundred seventy-six".