5527612067328 has 1600 divisors, whose sum is σ = 19608811622400. Its totient is φ = 1544171765760.

The previous prime is 5527612067311. The next prime is 5527612067371. The reversal of 5527612067328 is 8237602167255.

5527612067328 is a `hidden beast` number, since 5 + 52 + 7 + 61 + 206 + 7 + 328 = 666.

It is a super-3 number, since 3×5527612067328³ (a number of 39 digits) contains 333 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53666136525 + ... + 53666136627.

It is an arithmetic number, because the mean of its divisors is an integer number (12255507264).

Almost surely, 2^{5527612067328} 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 5527612067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804405811200).

5527612067328 is an abundant number, since it is smaller than the sum of its proper divisors (14081199555072).

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

5527612067328 is a wasteful number, since it uses less digits than its factorization.

5527612067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5527612067328 in words is "five trillion, five hundred twenty-seven billion, six hundred twelve million, sixty-seven thousand, three hundred twenty-eight".