55584667145280 has 1344 divisors, whose sum is σ = 236259939041280. Its totient is φ = 10751791841280.

The previous prime is 55584667145167. The next prime is 55584667145321. The reversal of 55584667145280 is 8254176648555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1595088817 + ... + 1595123663.

It is an arithmetic number, because the mean of its divisors is an integer number (175788645120).

Almost surely, 2^{55584667145280} 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 55584667145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118129969520640).

55584667145280 is an abundant number, since it is smaller than the sum of its proper divisors (180675271896000).

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

55584667145280 is a wasteful number, since it uses less digits than its factorization.

55584667145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34968 (or 34927 counting only the distinct ones).

The product of its (nonzero) digits is 322560000, while the sum is 66.

The spelling of 55584667145280 in words is "fifty-five trillion, five hundred eighty-four billion, six hundred sixty-seven million, one hundred forty-five thousand, two hundred eighty".