25325564774400 has 1728 divisors, whose sum is σ = 104098182289920. Its totient is φ = 5827461120000.

The previous prime is 25325564774381. The next prime is 25325564774467. The reversal of 25325564774400 is 447746552352.

25325564774400 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 5 + 564 + 7 + 74 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×25325564774400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8328036880 + ... + 8328039920.

It is an arithmetic number, because the mean of its divisors is an integer number (60242003640).

Almost surely, 2^{25325564774400} is an apocalyptic number.

25325564774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25325564774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52049091144960).

25325564774400 is an abundant number, since it is smaller than the sum of its proper divisors (78772617515520).

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

25325564774400 is a wasteful number, since it uses less digits than its factorization.

25325564774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 25325564774400 in words is "twenty-five trillion, three hundred twenty-five billion, five hundred sixty-four million, seven hundred seventy-four thousand, four hundred".