55232800000 has 324 divisors, whose sum is σ = 160415787420. Its totient is φ = 18923520000.

The previous prime is 55232799991. The next prime is 55232800039. The reversal of 55232800000 is 823255.

It can be written as a sum of positive squares in 6 ways, for example, as 54741025024 + 491774976 = 233968^2 + 22176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 39199296 + ... + 39200704.

It is an arithmetic number, because the mean of its divisors is an integer number (495110455).

Almost surely, 2^55232800000 is an apocalyptic number.

55232800000 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 55232800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80207893710).

55232800000 is an abundant number, since it is smaller than the sum of its proper divisors (105182987420).

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

55232800000 is an frugal number, since it uses more digits than its factorization.

55232800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 55232800000 in words is "fifty-five billion, two hundred thirty-two million, eight hundred thousand".