5280052800 has 252 divisors, whose sum is σ = 19043048528. Its totient is φ = 1279872000.

The previous prime is 5280052793. The next prime is 5280052807. The reversal of 5280052800 is 82500825.

It is an interprime number because it is at equal distance from previous prime (5280052793) and next prime (5280052807).

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

It is not an unprimeable number, because it can be changed into a prime (5280052807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576255 + ... + 585345.

Almost surely, 2^5280052800 is an apocalyptic number.

5280052800 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 5280052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521524264).

5280052800 is an abundant number, since it is smaller than the sum of its proper divisors (13762995728).

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

5280052800 is a wasteful number, since it uses less digits than its factorization.

5280052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5280052800 is about 72663.9718154740. The cubic root of 5280052800 is about 1741.3233426072.

5280052800 divided by its reverse (82500825) gives a 6-th power (64 = 2⁶).

The spelling of 5280052800 in words is "five billion, two hundred eighty million, fifty-two thousand, eight hundred".