25451628804 has 216 divisors, whose sum is σ = 77553036288. Its totient is φ = 7010115840.

The previous prime is 25451628803. The next prime is 25451628823. The reversal of 25451628804 is 40882615452.

25451628804 is a `hidden beast` number, since 2 + 54 + 516 + 2 + 8 + 80 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25451628804.

It is not an unprimeable number, because it can be changed into a prime (25451628803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17115349 + ... + 17116835.

Almost surely, 2^25451628804 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 25451628804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38776518144).

25451628804 is an abundant number, since it is smaller than the sum of its proper divisors (52101407484).

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

25451628804 is a wasteful number, since it uses less digits than its factorization.

25451628804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 25451628804 in words is "twenty-five billion, four hundred fifty-one million, six hundred twenty-eight thousand, eight hundred four".