5204406816 has 504 divisors, whose sum is σ = 18604324620. Its totient is φ = 1426553856.

The previous prime is 5204406803. The next prime is 5204406817. The reversal of 5204406816 is 6186044025.

It can be written as a sum of positive squares in 2 ways, for example, as 5158112400 + 46294416 = 71820^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5204406817) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 33149010 + ... + 33149166.

Almost surely, 2^5204406816 is an apocalyptic number.

5204406816 is a gapful number since it is divisible by the number (56) 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 5204406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302162310).

5204406816 is an abundant number, since it is smaller than the sum of its proper divisors (13399917804).

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

5204406816 is a wasteful number, since it uses less digits than its factorization.

5204406816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5204406816 is about 72141.5748095368. The cubic root of 5204406816 is about 1732.9674771560.

The spelling of 5204406816 in words is "five billion, two hundred four million, four hundred six thousand, eight hundred sixteen".