25452428601600 has 6075 divisors, whose sum is σ = 130672380787179. Its totient is φ = 4881984307200.

The previous prime is 25452428601563. The next prime is 25452428601617. The reversal of 25452428601600 is 610682425452.

The square root of 25452428601600 is 5045040.

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

25452428601600 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 2 + 428 + 60 + 160 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6560401123584 + 18892027478016 = 2561328^2 + 4346496^2 .

It is a super-2 number, since 2×25452428601600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 1957879123194 + ... + 1957879123206.

Almost surely, 2^{25452428601600} is an apocalyptic number.

25452428601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25452428601600 is the 5045040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25452428601600

25452428601600 is an abundant number, since it is smaller than the sum of its proper divisors (105219952185579).

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

25452428601600 is an equidigital number, since it uses as much as digits as its factorization.

25452428601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 25452428601600 in words is "twenty-five trillion, four hundred fifty-two billion, four hundred twenty-eight million, six hundred one thousand, six hundred".