55240061184 has 720 divisors, whose sum is σ = 212619496320. Its totient is φ = 13841694720.

The previous prime is 55240061183. The next prime is 55240061209. The reversal of 55240061184 is 48116004255.

It is a happy number.

55240061184 is a `hidden beast` number, since 552 + 40 + 0 + 61 + 1 + 8 + 4 = 666.

It is a super-2 number, since 2×55240061184² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55240061183) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 46302892 + ... + 46304084.

It is an arithmetic number, because the mean of its divisors is an integer number (295304856).

Almost surely, 2^55240061184 is an apocalyptic number.

55240061184 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 55240061184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106309748160).

55240061184 is an abundant number, since it is smaller than the sum of its proper divisors (157379435136).

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

55240061184 is a wasteful number, since it uses less digits than its factorization.

55240061184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55240061184 in words is "fifty-five billion, two hundred forty million, sixty-one thousand, one hundred eighty-four".