5277916800 has 768 divisors, whose sum is σ = 21531955200. Its totient is φ = 1254113280.

The previous prime is 5277916769. The next prime is 5277916817. The reversal of 5277916800 is 86197725.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41558337 + ... + 41558463.

It is an arithmetic number, because the mean of its divisors is an integer number (28036400).

Almost surely, 2^5277916800 is an apocalyptic number.

5277916800 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 5277916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765977600).

5277916800 is an abundant number, since it is smaller than the sum of its proper divisors (16254038400).

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

5277916800 is a wasteful number, since it uses less digits than its factorization.

5277916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5277916800 is about 72649.2725359311. The cubic root of 5277916800 is about 1741.0884984700.

The spelling of 5277916800 in words is "five billion, two hundred seventy-seven million, nine hundred sixteen thousand, eight hundred".