5526815016960 has 576 divisors, whose sum is σ = 20021947545600. Its totient is φ = 1462128869376.

The previous prime is 5526815016881. The next prime is 5526815016971. The reversal of 5526815016960 is 696105186255.

5526815016960 is a `hidden beast` number, since 5 + 52 + 6 + 81 + 501 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5526815016897 and 5526815016906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316007896 + ... + 316025384.

It is an arithmetic number, because the mean of its divisors is an integer number (34760325600).

Almost surely, 2^{5526815016960} 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 5526815016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10010973772800).

5526815016960 is an abundant number, since it is smaller than the sum of its proper divisors (14495132528640).

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

5526815016960 is a wasteful number, since it uses less digits than its factorization.

5526815016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17658 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 5526815016960 in words is "five trillion, five hundred twenty-six billion, eight hundred fifteen million, sixteen thousand, nine hundred sixty".