5527205499816 has 960 divisors, whose sum is σ = 21098000246400. Its totient is φ = 1315434193920.

The previous prime is 5527205499773. The next prime is 5527205499839. The reversal of 5527205499816 is 6189945027255.

5527205499816 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 2 + 0 + 549 + 9 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 991780006 + ... + 991785578.

It is an arithmetic number, because the mean of its divisors is an integer number (21977083590).

Almost surely, 2^{5527205499816} is an apocalyptic number.

5527205499816 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 5527205499816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549000123200).

5527205499816 is an abundant number, since it is smaller than the sum of its proper divisors (15570794746584).

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

5527205499816 is a wasteful number, since it uses less digits than its factorization.

5527205499816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 5527205499816 in words is "five trillion, five hundred twenty-seven billion, two hundred five million, four hundred ninety-nine thousand, eight hundred sixteen".