55200397824 has 480 divisors, whose sum is σ = 197059262400. Its totient is φ = 14624686080.

The previous prime is 55200397807. The next prime is 55200397829. The reversal of 55200397824 is 42879300255.

55200397824 is a `hidden beast` number, since 5 + 520 + 0 + 39 + 78 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55200397824.

It is not an unprimeable number, because it can be changed into a prime (55200397829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12517732 + ... + 12522140.

It is an arithmetic number, because the mean of its divisors is an integer number (410540130).

Almost surely, 2^55200397824 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 55200397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98529631200).

55200397824 is an abundant number, since it is smaller than the sum of its proper divisors (141858864576).

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

55200397824 is a wasteful number, since it uses less digits than its factorization.

55200397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55200397824 in words is "fifty-five billion, two hundred million, three hundred ninety-seven thousand, eight hundred twenty-four".