55854880550064 has 200 divisors, whose sum is σ = 162418239984000. Its totient is φ = 18531028150272.

The previous prime is 55854880550023. The next prime is 55854880550069. The reversal of 55854880550064 is 46005508845855.

55854880550064 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 48 + 80 + 5 + 500 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55854880549983 and 55854880550010.

It is not an unprimeable number, because it can be changed into a prime (55854880550069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1661490184 + ... + 1661523800.

It is an arithmetic number, because the mean of its divisors is an integer number (812091199920).

Almost surely, 2^{55854880550064} is an apocalyptic number.

55854880550064 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 55854880550064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81209119992000).

55854880550064 is an abundant number, since it is smaller than the sum of its proper divisors (106563359433936).

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

55854880550064 is a wasteful number, since it uses less digits than its factorization.

55854880550064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39609 (or 39594 counting only the distinct ones).

The product of its (nonzero) digits is 153600000, while the sum is 63.

The spelling of 55854880550064 in words is "fifty-five trillion, eight hundred fifty-four billion, eight hundred eighty million, five hundred fifty thousand, sixty-four".