5625619200 has 324 divisors, whose sum is σ = 20333000688. Its totient is φ = 1483776000.

The previous prime is 5625619193. The next prime is 5625619229. The reversal of 5625619200 is 29165265.

5625619200 is a `hidden beast` number, since 5 + 6 + 2 + 561 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5817117 + ... + 5818083.

Almost surely, 2^5625619200 is an apocalyptic number.

5625619200 is a gapful number since it is divisible by the number (50) 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 5625619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166500344).

5625619200 is an abundant number, since it is smaller than the sum of its proper divisors (14707381488).

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

5625619200 is a wasteful number, since it uses less digits than its factorization.

5625619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5625619200 is about 75004.1278864037. The cubic root of 5625619200 is about 1778.5119069865.

The spelling of 5625619200 in words is "five billion, six hundred twenty-five million, six hundred nineteen thousand, two hundred".