5516010517680 has 560 divisors, whose sum is σ = 20722773407616. Its totient is φ = 1356778874880.

The previous prime is 5516010517673. The next prime is 5516010517711. The reversal of 5516010517680 is 867150106155.

It is a happy number.

5516010517680 is a `hidden beast` number, since 5 + 5 + 1 + 60 + 10 + 517 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1927999450 + ... + 1928002310.

Almost surely, 2^{5516010517680} 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 5516010517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361386703808).

5516010517680 is an abundant number, since it is smaller than the sum of its proper divisors (15206762889936).

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

5516010517680 is a wasteful number, since it uses less digits than its factorization.

5516010517680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 5516010517680 in words is "five trillion, five hundred sixteen billion, ten million, five hundred seventeen thousand, six hundred eighty".