55168323840 has 648 divisors, whose sum is σ = 235142271000. Its totient is φ = 11866079232.

The previous prime is 55168323809. The next prime is 55168323853. The reversal of 55168323840 is 4832386155.

55168323840 is a `hidden beast` number, since 551 + 68 + 3 + 2 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1106493696 + 54061830144 = 33264^2 + 232512^2 .

It is a super-2 number, since 2×55168323840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9593286 + ... + 9599034.

It is an arithmetic number, because the mean of its divisors is an integer number (362873875).

Almost surely, 2^55168323840 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 55168323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117571135500).

55168323840 is an abundant number, since it is smaller than the sum of its proper divisors (179973947160).

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

55168323840 is a wasteful number, since it uses less digits than its factorization.

55168323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55168323840 in words is "fifty-five billion, one hundred sixty-eight million, three hundred twenty-three thousand, eight hundred forty".