55345717324800 has 2772 divisors, whose sum is σ = 247643140650480. Its totient is φ = 12208374743040.

The previous prime is 55345717324747. The next prime is 55345717324831. The reversal of 55345717324800 is 842371754355.

55345717324800 is a `hidden beast` number, since 5 + 5 + 34 + 571 + 7 + 32 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 26519269357 + ... + 26519271443.

Almost surely, 2^{55345717324800} is an apocalyptic number.

55345717324800 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 55345717324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123821570325240).

55345717324800 is an abundant number, since it is smaller than the sum of its proper divisors (192297423325680).

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

55345717324800 is a wasteful number, since it uses less digits than its factorization.

55345717324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 55345717324800 in words is "fifty-five trillion, three hundred forty-five billion, seven hundred seventeen million, three hundred twenty-four thousand, eight hundred".