55728550800 has 840 divisors, whose sum is σ = 220637150888. Its totient is φ = 13436928000.

The previous prime is 55728550789. The next prime is 55728550847. The reversal of 55728550800 is 805582755.

It can be written as a sum of positive squares in 12 ways, for example, as 34186530816 + 21542019984 = 184896^2 + 146772^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 231238680 + ... + 231238920.

Almost surely, 2^55728550800 is an apocalyptic number.

55728550800 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 55728550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110318575444).

55728550800 is an abundant number, since it is smaller than the sum of its proper divisors (164908600088).

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

55728550800 is a wasteful number, since it uses less digits than its factorization.

55728550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 55728550800 in words is "fifty-five billion, seven hundred twenty-eight million, five hundred fifty thousand, eight hundred".