5302886400 has 672 divisors, whose sum is σ = 22427671680. Its totient is φ = 1203240960.

The previous prime is 5302886389. The next prime is 5302886423. The reversal of 5302886400 is 46882035.

5302886400 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 8 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38707132 + ... + 38707268.

Almost surely, 2^5302886400 is an apocalyptic number.

5302886400 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 5302886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213835840).

5302886400 is an abundant number, since it is smaller than the sum of its proper divisors (17124785280).

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

5302886400 is a wasteful number, since it uses less digits than its factorization.

5302886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

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

The square root of 5302886400 is about 72820.9200710895. The cubic root of 5302886400 is about 1743.8298518179.

The spelling of 5302886400 in words is "five billion, three hundred two million, eight hundred eighty-six thousand, four hundred".