25488765849600 has 585 divisors, whose sum is σ = 94470374382483. Its totient is φ = 6793126871040.

The previous prime is 25488765849581. The next prime is 25488765849601. The reversal of 25488765849600 is 694856788452.

The square root of 25488765849600 is 5048640.

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

25488765849600 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 8 + 7 + 6 + 5 + 8 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12051673288704 + 13437092560896 = 3471552^2 + 3665664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25488765849601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14540082324 + ... + 14540084076.

Almost surely, 2^{25488765849600} is an apocalyptic number.

25488765849600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25488765849600 is the 5048640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25488765849600

25488765849600 is an abundant number, since it is smaller than the sum of its proper divisors (68981608532883).

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

25488765849600 is an frugal number, since it uses more digits than its factorization.

25488765849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 25488765849600 in words is "twenty-five trillion, four hundred eighty-eight billion, seven hundred sixty-five million, eight hundred forty-nine thousand, six hundred".