5526813526920 has 384 divisors, whose sum is σ = 21207864637440. Its totient is φ = 1221511311360.

The previous prime is 5526813526859. The next prime is 5526813526931. The reversal of 5526813526920 is 296253186255.

5526813526920 is a `hidden beast` number, since 5 + 5 + 26 + 8 + 1 + 3 + 526 + 92 + 0 = 666.

It is a super-2 number, since 2×5526813526920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96605844 + ... + 96663036.

It is an arithmetic number, because the mean of its divisors is an integer number (55228814160).

Almost surely, 2^{5526813526920} 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 5526813526920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603932318720).

5526813526920 is an abundant number, since it is smaller than the sum of its proper divisors (15681051110520).

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

5526813526920 is a wasteful number, since it uses less digits than its factorization.

5526813526920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58485 (or 58478 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5526813526920 in words is "five trillion, five hundred twenty-six billion, eight hundred thirteen million, five hundred twenty-six thousand, nine hundred twenty".