5260792320 has 640 divisors, whose sum is σ = 21778606080. Its totient is φ = 1178910720.

The previous prime is 5260792291. The next prime is 5260792337. The reversal of 5260792320 is 232970625.

5260792320 is a `hidden beast` number, since 5 + 2 + 607 + 9 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×5260792320³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40158655 + ... + 40158785.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^5260792320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5260792320 is an abundant number, since it is smaller than the sum of its proper divisors (16517813760).

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

5260792320 is a wasteful number, since it uses less digits than its factorization.

5260792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5260792320 is about 72531.3195798891. The cubic root of 5260792320 is about 1739.2034403904.

The spelling of 5260792320 in words is "five billion, two hundred sixty million, seven hundred ninety-two thousand, three hundred twenty".