5290336800 has 720 divisors, whose sum is σ = 22459187520. Its totient is φ = 1186928640.

The previous prime is 5290336781. The next prime is 5290336823. The reversal of 5290336800 is 86330925.

5290336800 is a `hidden beast` number, since 5 + 290 + 3 + 368 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 48535146 + ... + 48535254.

It is an arithmetic number, because the mean of its divisors is an integer number (31193316).

Almost surely, 2^5290336800 is an apocalyptic number.

5290336800 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 5290336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229593760).

5290336800 is an abundant number, since it is smaller than the sum of its proper divisors (17168850720).

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

5290336800 is a wasteful number, since it uses less digits than its factorization.

5290336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5290336800 is about 72734.7014842297. The cubic root of 5290336800 is about 1742.4531391029.

The spelling of 5290336800 in words is "five billion, two hundred ninety million, three hundred thirty-six thousand, eight hundred".