5201836800 has 216 divisors, whose sum is σ = 18178117776. Its totient is φ = 1305477120.

The previous prime is 5201836763. The next prime is 5201836823. The reversal of 5201836800 is 86381025.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318432 + ... + 334368.

Almost surely, 2^5201836800 is an apocalyptic number.

5201836800 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 5201836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089058888).

5201836800 is an abundant number, since it is smaller than the sum of its proper divisors (12976280976).

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

5201836800 is a wasteful number, since it uses less digits than its factorization.

5201836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15983 (or 15964 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5201836800 is about 72123.7603013043. The cubic root of 5201836800 is about 1732.6821748719.

The spelling of 5201836800 in words is "five billion, two hundred one million, eight hundred thirty-six thousand, eight hundred".