55128340800 has 756 divisors, whose sum is σ = 220291212960. Its totient is φ = 13553879040.

The previous prime is 55128340777. The next prime is 55128340807. The reversal of 55128340800 is 804382155.

It is a happy number.

55128340800 is a `hidden beast` number, since 551 + 28 + 3 + 4 + 0 + 80 + 0 = 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 (55128340807) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 65706781 + ... + 65707619.

Almost surely, 2^55128340800 is an apocalyptic number.

55128340800 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 55128340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110145606480).

55128340800 is an abundant number, since it is smaller than the sum of its proper divisors (165162872160).

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

55128340800 is a wasteful number, since it uses less digits than its factorization.

55128340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55128340800 in words is "fifty-five billion, one hundred twenty-eight million, three hundred forty thousand, eight hundred".