5260788000 has 480 divisors, whose sum is σ = 20810790000. Its totient is φ = 1293926400.

The previous prime is 5260787993. The next prime is 5260788011. The reversal of 5260788000 is 8870625.

It can be written as a sum of positive squares in 8 ways, for example, as 19607184 + 5241180816 = 4428^2 + 72396^2 .

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

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 79 ways as a sum of consecutive naturals, for example, 4211376 + ... + 4212624.

Almost surely, 2^5260788000 is an apocalyptic number.

5260788000 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 5260788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10405395000).

5260788000 is an abundant number, since it is smaller than the sum of its proper divisors (15550002000).

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

5260788000 is a wasteful number, since it uses less digits than its factorization.

5260788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5260788000 is about 72531.2897996444. The cubic root of 5260788000 is about 1739.2029643302.

The spelling of 5260788000 in words is "five billion, two hundred sixty million, seven hundred eighty-eight thousand".