5205816000 has 896 divisors, whose sum is σ = 23888517120. Its totient is φ = 1078272000.

The previous prime is 5205815987. The next prime is 5205816059. The reversal of 5205816000 is 6185025.

5205816000 is a `hidden beast` number, since 5 + 2 + 0 + 58 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16631844 + ... + 16632156.

Almost surely, 2^5205816000 is an apocalyptic number.

5205816000 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 5205816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944258560).

5205816000 is an abundant number, since it is smaller than the sum of its proper divisors (18682701120).

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

5205816000 is a wasteful number, since it uses less digits than its factorization.

5205816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5205816000 is about 72151.3409438799. The cubic root of 5205816000 is about 1733.1238734402.

The spelling of 5205816000 in words is "five billion, two hundred five million, eight hundred sixteen thousand".