55509245438400 has 1764 divisors, whose sum is σ = 233439030601320. Its totient is φ = 12943792742400.

The previous prime is 55509245438399. The next prime is 55509245438417. The reversal of 55509245438400 is 483454290555.

55509245438400 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 92 + 4 + 543 + 8 + 4 + 0 + 0 = 666.

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

It is a congruent number.

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, 3745302990 + ... + 3745317810.

Almost surely, 2^{55509245438400} is an apocalyptic number.

55509245438400 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 55509245438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116719515300660).

55509245438400 is an abundant number, since it is smaller than the sum of its proper divisors (177929785162920).

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

55509245438400 is a wasteful number, since it uses less digits than its factorization.

55509245438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14906 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 55509245438400 in words is "fifty-five trillion, five hundred nine billion, two hundred forty-five million, four hundred thirty-eight thousand, four hundred".