55344430530400 has 288 divisors, whose sum is σ = 150020875236960. Its totient is φ = 19767269376000.

The previous prime is 55344430530341. The next prime is 55344430530409. The reversal of 55344430530400 is 403503444355.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55344430530409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380518492 + ... + 380663908.

It is an arithmetic number, because the mean of its divisors is an integer number (520905816795).

Almost surely, 2^{55344430530400} is an apocalyptic number.

55344430530400 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 55344430530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75010437618480).

55344430530400 is an abundant number, since it is smaller than the sum of its proper divisors (94676444706560).

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

55344430530400 is a wasteful number, since it uses less digits than its factorization.

55344430530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146218 (or 146205 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

Adding to 55344430530400 its reverse (403503444355), we get a palindrome (55747933974755).

The spelling of 55344430530400 in words is "fifty-five trillion, three hundred forty-four billion, four hundred thirty million, five hundred thirty thousand, four hundred".