5526000756 has 72 divisors (see below), whose sum is σ = 14810579784. Its totient is φ = 1731256320.

The previous prime is 5526000719. The next prime is 5526000763. The reversal of 5526000756 is 6570006255.

5526000756 is a nontrivial binomial coefficient, being equal to C(105129, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 418611600 + 5107389156 = 20460^2 + 71466^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5526000756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467236 + ... + 478916.

It is an arithmetic number, because the mean of its divisors is an integer number (205702497).

Almost surely, 2^5526000756 is an apocalyptic number.

5526000756 is the 105128-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5526000756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405289892).

5526000756 is an abundant number, since it is smaller than the sum of its proper divisors (9284579028).

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

5526000756 is a wasteful number, since it uses less digits than its factorization.

5526000756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5526000756 is about 74337.0752451292. The cubic root of 5526000756 is about 1767.9513633795.

The spelling of 5526000756 in words is "five billion, five hundred twenty-six million, seven hundred fifty-six", and thus it is an aban number.