5515258677376 has 128 divisors (see below), whose sum is σ = 12603745676160. Its totient is φ = 2354902917120.

The previous prime is 5515258677373. The next prime is 5515258677421. The reversal of 5515258677376 is 6737768525155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5515258677373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717101691 + ... + 717109381.

It is an arithmetic number, because the mean of its divisors is an integer number (98466763095).

Almost surely, 2^{5515258677376} is an apocalyptic number.

5515258677376 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 5515258677376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301872838080).

5515258677376 is an abundant number, since it is smaller than the sum of its proper divisors (7088486998784).

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

5515258677376 is a wasteful number, since it uses less digits than its factorization.

5515258677376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10570 counting only the distinct ones).

The product of its digits is 370440000, while the sum is 67.

The spelling of 5515258677376 in words is "five trillion, five hundred fifteen billion, two hundred fifty-eight million, six hundred seventy-seven thousand, three hundred seventy-six".