5277350400 has 480 divisors, whose sum is σ = 20641357440. Its totient is φ = 1162936320.

The previous prime is 5277350357. The next prime is 5277350411. The reversal of 5277350400 is 40537725.

It is a tau number, because it is divible by the number of its divisors (480).

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, 7794862 + ... + 7795538.

It is an arithmetic number, because the mean of its divisors is an integer number (43002828).

Almost surely, 2^5277350400 is an apocalyptic number.

5277350400 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 5277350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320678720).

5277350400 is an abundant number, since it is smaller than the sum of its proper divisors (15364007040).

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

5277350400 is a wasteful number, since it uses less digits than its factorization.

5277350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 5277350400 is about 72645.3742505330. The cubic root of 5277350400 is about 1741.0262145651.

The spelling of 5277350400 in words is "five billion, two hundred seventy-seven million, three hundred fifty thousand, four hundred".