5676519856128 has 384 divisors, whose sum is σ = 17647659993600. Its totient is φ = 1605219123200.

The previous prime is 5676519856103. The next prime is 5676519856141. The reversal of 5676519856128 is 8216589156765.

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

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63687178 + ... + 63776246.

It is an arithmetic number, because the mean of its divisors is an integer number (45957447900).

Almost surely, 2^{5676519856128} 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 5676519856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8823829996800).

5676519856128 is an abundant number, since it is smaller than the sum of its proper divisors (11971140137472).

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

5676519856128 is a wasteful number, since it uses less digits than its factorization.

5676519856128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89169 (or 89149 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 69.

The spelling of 5676519856128 in words is "five trillion, six hundred seventy-six billion, five hundred nineteen million, eight hundred fifty-six thousand, one hundred twenty-eight".