5510074452456 has 768 divisors, whose sum is σ = 17296312320000. Its totient is φ = 1431165542400.

The previous prime is 5510074452383. The next prime is 5510074452473. The reversal of 5510074452456 is 6542544700155.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27688816245 + ... + 27688816443.

It is an arithmetic number, because the mean of its divisors is an integer number (22521240000).

Almost surely, 2^{5510074452456} is an apocalyptic number.

5510074452456 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 5510074452456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648156160000).

5510074452456 is an abundant number, since it is smaller than the sum of its proper divisors (11786237867544).

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

5510074452456 is a wasteful number, since it uses less digits than its factorization.

5510074452456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 5510074452456 in words is "five trillion, five hundred ten billion, seventy-four million, four hundred fifty-two thousand, four hundred fifty-six".