25664052040900 has 729 divisors, whose sum is σ = 74290049423541. Its totient is φ = 7668500636160.

The previous prime is 25664052040877. The next prime is 25664052040909. The reversal of 25664052040900 is 904025046652.

The square root of 25664052040900 is 5065970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12352820856964 + 13311231183936 = 3514658^2 + 3648456^2 .

It is a super-3 number, since 3×25664052040900³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (25664052040909) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 87590621154 + ... + 87590621446.

Almost surely, 2^{25664052040900} is an apocalyptic number.

25664052040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25664052040900 is the 5065970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25664052040900

25664052040900 is an abundant number, since it is smaller than the sum of its proper divisors (48625997382641).

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

25664052040900 is a wasteful number, since it uses less digits than its factorization.

25664052040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 25664052040900 in words is "twenty-five trillion, six hundred sixty-four billion, fifty-two million, forty thousand, nine hundred".