55430294400 has 1152 divisors, whose sum is σ = 229134709440. Its totient is φ = 12651724800.

The previous prime is 55430294363. The next prime is 55430294419. The reversal of 55430294400 is 449203455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 353059122 + ... + 353059278.

Almost surely, 2^55430294400 is an apocalyptic number.

55430294400 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 55430294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114567354720).

55430294400 is an abundant number, since it is smaller than the sum of its proper divisors (173704415040).

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

55430294400 is a wasteful number, since it uses less digits than its factorization.

55430294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 55430294400 its reverse (449203455), we get a palindrome (55879497855).

The spelling of 55430294400 in words is "fifty-five billion, four hundred thirty million, two hundred ninety-four thousand, four hundred".