8385561600 has 528 divisors, whose sum is σ = 30788321088. Its totient is φ = 1999503360.

The previous prime is 8385561599. The next prime is 8385561601. The reversal of 8385561600 is 61655838.

It is an interprime number because it is at equal distance from previous prime (8385561599) and next prime (8385561601).

It is not an unprimeable number, because it can be changed into a prime (8385561601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36940687 + ... + 36940913.

Almost surely, 2^8385561600 is an apocalyptic number.

8385561600 is a gapful number since it is divisible by the number (80) 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 8385561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394160544).

8385561600 is an abundant number, since it is smaller than the sum of its proper divisors (22402759488).

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

8385561600 is a wasteful number, since it uses less digits than its factorization.

8385561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 8385561600 is about 91572.7120926316. The cubic root of 8385561600 is about 2031.6273522526.

The spelling of 8385561600 in words is "eight billion, three hundred eighty-five million, five hundred sixty-one thousand, six hundred".