5278735800 has 576 divisors, whose sum is σ = 20798668800. Its totient is φ = 1188172800.

The previous prime is 5278735799. The next prime is 5278735849. The reversal of 5278735800 is 85378725.

5278735800 is a `hidden beast` number, since 527 + 8 + 73 + 58 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13782409 + ... + 13782791.

It is an arithmetic number, because the mean of its divisors is an integer number (36108800).

Almost surely, 2^5278735800 is an apocalyptic number.

5278735800 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 5278735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399334400).

5278735800 is an abundant number, since it is smaller than the sum of its proper divisors (15519933000).

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

5278735800 is a wasteful number, since it uses less digits than its factorization.

5278735800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5278735800 is about 72654.9089876245. The cubic root of 5278735800 is about 1741.1785515334.

The spelling of 5278735800 in words is "five billion, two hundred seventy-eight million, seven hundred thirty-five thousand, eight hundred".