5204920800 has 144 divisors (see below), whose sum is σ = 17833858560. Its totient is φ = 1314915840.

The previous prime is 5204920759. The next prime is 5204920813. The reversal of 5204920800 is 80294025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 11472 + ... + 102671.

It is an arithmetic number, because the mean of its divisors is an integer number (123846240).

Almost surely, 2^5204920800 is an apocalyptic number.

5204920800 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 5204920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916929280).

5204920800 is an abundant number, since it is smaller than the sum of its proper divisors (12628937760).

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

5204920800 is a wasteful number, since it uses less digits than its factorization.

5204920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114185 (or 114172 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5204920800 is about 72145.1370502545. The cubic root of 5204920800 is about 1733.0245242103.

The spelling of 5204920800 in words is "five billion, two hundred four million, nine hundred twenty thousand, eight hundred".