55624664354220 has 768 divisors, whose sum is σ = 210641040691200. Its totient is φ = 12036561223680.

The previous prime is 55624664354219. The next prime is 55624664354263. The reversal of 55624664354220 is 2245346642655.

55624664354220 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 4 + 6 + 64 + 354 + 220 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 160816902 + ... + 161162418.

It is an arithmetic number, because the mean of its divisors is an integer number (274272188400).

Almost surely, 2^{55624664354220} 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 55624664354220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105320520345600).

55624664354220 is an abundant number, since it is smaller than the sum of its proper divisors (155016376336980).

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

55624664354220 is a wasteful number, since it uses less digits than its factorization.

55624664354220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345655 (or 345647 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 55624664354220 in words is "fifty-five trillion, six hundred twenty-four billion, six hundred sixty-four million, three hundred fifty-four thousand, two hundred twenty".