25152828064 has 288 divisors, whose sum is σ = 65423344896. Its totient is φ = 9266503680.

The previous prime is 25152828061. The next prime is 25152828109. The reversal of 25152828064 is 46082825152.

It is a self number, because there is not a number n which added to its sum of digits gives 25152828064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25152828061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74637304 + ... + 74637640.

It is an arithmetic number, because the mean of its divisors is an integer number (227164392).

Almost surely, 2^25152828064 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 25152828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32711672448).

25152828064 is an abundant number, since it is smaller than the sum of its proper divisors (40270516832).

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

25152828064 is a wasteful number, since it uses less digits than its factorization.

25152828064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 25152828064 in words is "twenty-five billion, one hundred fifty-two million, eight hundred twenty-eight thousand, sixty-four".