551875392660480 has 1760 divisors, whose sum is σ = 2197482136137600. Its totient is φ = 117855880740864.

The previous prime is 551875392660479. The next prime is 551875392660511. The reversal of 551875392660480 is 84066293578155.

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 159 ways as a sum of consecutive naturals, for example, 51151666926 + ... + 51151677714.

It is a 1-persistent number, because it is pandigital, but 2⋅551875392660480 = 1103750785320960 is not.

Almost surely, 2^{551875392660480} 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 551875392660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098741068068800).

551875392660480 is an abundant number, since it is smaller than the sum of its proper divisors (1645606743477120).

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

551875392660480 is a wasteful number, since it uses less digits than its factorization.

551875392660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937 (or 10898 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 69.

The spelling of 551875392660480 in words is "five hundred fifty-one trillion, eight hundred seventy-five billion, three hundred ninety-two million, six hundred sixty thousand, four hundred eighty".