5535716006016 has 384 divisors, whose sum is σ = 18431646105600. Its totient is φ = 1562078214144.

The previous prime is 5535716005951. The next prime is 5535716006027. The reversal of 5535716006016 is 6106006175355.

5535716006016 is a `hidden beast` number, since 5 + 5 + 3 + 571 + 6 + 0 + 0 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 228368425 + ... + 228392663.

It is an arithmetic number, because the mean of its divisors is an integer number (47999078400).

Almost surely, 2^{5535716006016} is an apocalyptic number.

5535716006016 is a gapful number since it is divisible by the number (56) 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 5535716006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215823052800).

5535716006016 is an abundant number, since it is smaller than the sum of its proper divisors (12895930099584).

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

5535716006016 is a wasteful number, since it uses less digits than its factorization.

5535716006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24616 (or 24601 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 5535716006016 in words is "five trillion, five hundred thirty-five billion, seven hundred sixteen million, six thousand, sixteen".