551319713280 has 1920 divisors, whose sum is σ = 2418273792000. Its totient is φ = 118536929280.

The previous prime is 551319713237. The next prime is 551319713281. The reversal of 551319713280 is 82317913155.

551319713280 is a `hidden beast` number, since 5 + 5 + 1 + 319 + 7 + 1 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×551319713280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551319713281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6194603476 + ... + 6194603564.

It is an arithmetic number, because the mean of its divisors is an integer number (1259517600).

Almost surely, 2^551319713280 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 551319713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209136896000).

551319713280 is an abundant number, since it is smaller than the sum of its proper divisors (1866954078720).

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

551319713280 is a wasteful number, since it uses less digits than its factorization.

551319713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 551319713280 in words is "five hundred fifty-one billion, three hundred nineteen million, seven hundred thirteen thousand, two hundred eighty".