55591820159904 has 288 divisors, whose sum is σ = 184747003459200. Its totient is φ = 15527423748096.

The previous prime is 55591820159873. The next prime is 55591820159929. The reversal of 55591820159904 is 40995102819555.

55591820159904 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 18 + 20 + 1 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×55591820159904² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28657747 + ... + 30536045.

It is an arithmetic number, because the mean of its divisors is an integer number (641482650900).

Almost surely, 2^{55591820159904} 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 55591820159904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92373501729600).

55591820159904 is an abundant number, since it is smaller than the sum of its proper divisors (129155183299296).

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

55591820159904 is a wasteful number, since it uses less digits than its factorization.

55591820159904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878652 (or 1878641 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 63.

The spelling of 55591820159904 in words is "fifty-five trillion, five hundred ninety-one billion, eight hundred twenty million, one hundred fifty-nine thousand, nine hundred four".