55310248224 has 1152 divisors, whose sum is σ = 221211648000. Its totient is φ = 13320599040.

The previous prime is 55310248211. The next prime is 55310248229. The reversal of 55310248224 is 42284201355.

55310248224 is a `hidden beast` number, since 5 + 53 + 102 + 482 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55310248229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1176813769 + ... + 1176813815.

It is an arithmetic number, because the mean of its divisors is an integer number (192024000).

Almost surely, 2^55310248224 is an apocalyptic number.

55310248224 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 55310248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824000).

55310248224 is an abundant number, since it is smaller than the sum of its proper divisors (165901399776).

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

55310248224 is a wasteful number, since it uses less digits than its factorization.

55310248224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 55310248224 its reverse (42284201355), we get a palindrome (97594449579).

The spelling of 55310248224 in words is "fifty-five billion, three hundred ten million, two hundred forty-eight thousand, two hundred twenty-four".