55511340400 has 240 divisors, whose sum is σ = 140299234560. Its totient is φ = 21082521600.

The previous prime is 55511340383. The next prime is 55511340407. The reversal of 55511340400 is 404311555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55511340407) 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, 242407486 + ... + 242407714.

It is an arithmetic number, because the mean of its divisors is an integer number (584580144).

Almost surely, 2^55511340400 is an apocalyptic number.

55511340400 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 55511340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70149617280).

55511340400 is an abundant number, since it is smaller than the sum of its proper divisors (84787894160).

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

55511340400 is a wasteful number, since it uses less digits than its factorization.

55511340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 55511340400 its reverse (404311555), we get a palindrome (55915651955).

The spelling of 55511340400 in words is "fifty-five billion, five hundred eleven million, three hundred forty thousand, four hundred".