5264793600 has 672 divisors, whose sum is σ = 20477439360. Its totient is φ = 1179648000.

The previous prime is 5264793557. The next prime is 5264793601. The reversal of 5264793600 is 63974625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5264793601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128409580 + ... + 128409620.

It is an arithmetic number, because the mean of its divisors is an integer number (30472380).

Almost surely, 2^5264793600 is an apocalyptic number.

5264793600 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 5264793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238719680).

5264793600 is an abundant number, since it is smaller than the sum of its proper divisors (15212645760).

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

5264793600 is a wasteful number, since it uses less digits than its factorization.

5264793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 5264793600 is about 72558.8974557910. The cubic root of 5264793600 is about 1739.6442660272.

The spelling of 5264793600 in words is "five billion, two hundred sixty-four million, seven hundred ninety-three thousand, six hundred".