55309132800 has 792 divisors, whose sum is σ = 217863618336. Its totient is φ = 13854965760.

The previous prime is 55309132793. The next prime is 55309132831. The reversal of 55309132800 is 823190355.

55309132800 is a `hidden beast` number, since 5 + 530 + 91 + 32 + 8 + 0 + 0 = 666.

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

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, 105753339 + ... + 105753861.

Almost surely, 2^55309132800 is an apocalyptic number.

55309132800 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 55309132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108931809168).

55309132800 is an abundant number, since it is smaller than the sum of its proper divisors (162554485536).

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

55309132800 is a wasteful number, since it uses less digits than its factorization.

55309132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 55309132800 in words is "fifty-five billion, three hundred nine million, one hundred thirty-two thousand, eight hundred".