55984317086880 has 2304 divisors, whose sum is σ = 252478475698176. Its totient is φ = 11396127375360.

The previous prime is 55984317086783. The next prime is 55984317086969. The reversal of 55984317086880 is 8868071348955.

55984317086880 is a `hidden beast` number, since 5 + 59 + 8 + 431 + 7 + 0 + 8 + 68 + 80 = 666.

55984317086880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 55984317086799 and 55984317086808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51220783614 + ... + 51220784706.

It is an arithmetic number, because the mean of its divisors is an integer number (109582671744).

Almost surely, 2^{55984317086880} 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 55984317086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126239237849088).

55984317086880 is an abundant number, since it is smaller than the sum of its proper divisors (196494158611296).

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

55984317086880 is a wasteful number, since it uses less digits than its factorization.

55984317086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 55984317086880 in words is "fifty-five trillion, nine hundred eighty-four billion, three hundred seventeen million, eighty-six thousand, eight hundred eighty".