5277792100 has 144 divisors (see below), whose sum is σ = 13415141376. Its totient is φ = 1765008000.

The previous prime is 5277792061. The next prime is 5277792101. The reversal of 5277792100 is 12977725.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5277792101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5118585 + ... + 5119615.

It is an arithmetic number, because the mean of its divisors is an integer number (93160704).

Almost surely, 2^5277792100 is an apocalyptic number.

5277792100 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 5277792100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707570688).

5277792100 is an abundant number, since it is smaller than the sum of its proper divisors (8137349276).

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

5277792100 is a wasteful number, since it uses less digits than its factorization.

5277792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 40.

The square root of 5277792100 is about 72648.4142979047. The cubic root of 5277792100 is about 1741.0747862767.

The spelling of 5277792100 in words is "five billion, two hundred seventy-seven million, seven hundred ninety-two thousand, one hundred".