551873891143680 has 3328 divisors, whose sum is σ = 2259212525568000. Its totient is φ = 114532684922880.

The previous prime is 551873891143669. The next prime is 551873891143829. The reversal of 551873891143680 is 86341198378155.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2147369226112 + ... + 2147369226368.

Almost surely, 2^{551873891143680} 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 551873891143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129606262784000).

551873891143680 is an abundant number, since it is smaller than the sum of its proper divisors (1707338634424320).

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

551873891143680 is a wasteful number, since it uses less digits than its factorization.

551873891143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 69.

The spelling of 551873891143680 in words is "five hundred fifty-one trillion, eight hundred seventy-three billion, eight hundred ninety-one million, one hundred forty-three thousand, six hundred eighty".