8525465625600 has 2673 divisors, whose sum is σ = 39530761074441. Its totient is φ = 1749100953600.

The previous prime is 8525465625577. The next prime is 8525465625601. The reversal of 8525465625600 is 65265645258.

The square root of 8525465625600 is 2919840.

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

8525465625600 is a `hidden beast` number, since 8 + 5 + 2 + 5 + 4 + 6 + 5 + 6 + 25 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3069167625216 + 5456298000384 = 1751904^2 + 2335872^2 .

It is not an unprimeable number, because it can be changed into a prime (8525465625601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 107917286361 + ... + 107917286439.

Almost surely, 2^{8525465625600} is an apocalyptic number.

8525465625600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8525465625600 is the 2919840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8525465625600

8525465625600 is an abundant number, since it is smaller than the sum of its proper divisors (31005295448841).

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

8525465625600 is a wasteful number, since it uses less digits than its factorization.

8525465625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 8525465625600 in words is "eight trillion, five hundred twenty-five billion, four hundred sixty-five million, six hundred twenty-five thousand, six hundred".