6552596518416 has 405 divisors, whose sum is σ = 20263501870677. Its totient is φ = 1975759119360.

The previous prime is 6552596518387. The next prime is 6552596518421. The reversal of 6552596518416 is 6148156952556.

The square root of 6552596518416 is 2559804.

It is a perfect power (a square), and thus also a powerful number.

6552596518416 is a `hidden beast` number, since 6 + 5 + 5 + 25 + 96 + 518 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3604150371600 + 2948446146816 = 1898460^2 + 1717104^2 .

It is a super-2 number, since 2×6552596518416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24359094730 + ... + 24359094998.

Almost surely, 2^{6552596518416} is an apocalyptic number.

6552596518416 is the 2559804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6552596518416

6552596518416 is an abundant number, since it is smaller than the sum of its proper divisors (13710905352261).

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

6552596518416 is a wasteful number, since it uses less digits than its factorization.

6552596518416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 348 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 6552596518416 in words is "six trillion, five hundred fifty-two billion, five hundred ninety-six million, five hundred eighteen thousand, four hundred sixteen".