5516535356640 has 768 divisors, whose sum is σ = 24848721838080. Its totient is φ = 1109313792000.

The previous prime is 5516535356621. The next prime is 5516535356653. The reversal of 5516535356640 is 466535356155.

5516535356640 is a `hidden beast` number, since 5 + 5 + 1 + 6 + 5 + 3 + 535 + 66 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10044355 + ... + 10579325.

It is an arithmetic number, because the mean of its divisors is an integer number (32355106560).

Almost surely, 2^{5516535356640} 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 5516535356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424360919040).

5516535356640 is an abundant number, since it is smaller than the sum of its proper divisors (19332186481440).

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

5516535356640 is a wasteful number, since it uses less digits than its factorization.

5516535356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535044 (or 535030 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 54.

The spelling of 5516535356640 in words is "five trillion, five hundred sixteen billion, five hundred thirty-five million, three hundred fifty-six thousand, six hundred forty".