551209975344 has 400 divisors, whose sum is σ = 1861240198400. Its totient is φ = 154868993280.

The previous prime is 551209975321. The next prime is 551209975363. The reversal of 551209975344 is 443579902155.

551209975344 is a `hidden beast` number, since 5 + 5 + 1 + 209 + 97 + 5 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 134472207 + ... + 134476305.

It is an arithmetic number, because the mean of its divisors is an integer number (4653100496).

Almost surely, 2^551209975344 is an apocalyptic number.

551209975344 is a gapful number since it is divisible by the number (54) 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 551209975344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930620099200).

551209975344 is an abundant number, since it is smaller than the sum of its proper divisors (1310030223056).

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

551209975344 is an frugal number, since it uses more digits than its factorization.

551209975344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 551209975344 in words is "five hundred fifty-one billion, two hundred nine million, nine hundred seventy-five thousand, three hundred forty-four".