55596340800 has 3024 divisors, whose sum is σ = 294065553600. Its totient is φ = 9754214400.

The previous prime is 55596340769. The next prime is 55596340861. The reversal of 55596340800 is 804369555.

55596340800 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 634 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×55596340800² (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 a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 1917115186 + ... + 1917115214.

It is an arithmetic number, because the mean of its divisors is an integer number (97243900).

Almost surely, 2^55596340800 is an apocalyptic number.

55596340800 is a gapful number since it is divisible by the number (50) 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 55596340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147032776800).

55596340800 is an abundant number, since it is smaller than the sum of its proper divisors (238469212800).

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

55596340800 is a wasteful number, since it uses less digits than its factorization.

55596340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55596340800 in words is "fifty-five billion, five hundred ninety-six million, three hundred forty thousand, eight hundred".