55000008122400 has 2592 divisors, whose sum is σ = 233726689909440. Its totient is φ = 12033515520000.

The previous prime is 55000008122251. The next prime is 55000008122539. The reversal of 55000008122400 is 422180000055.

It is a happy 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 431 ways as a sum of consecutive naturals, for example, 105566234140 + ... + 105566234660.

It is an arithmetic number, because the mean of its divisors is an integer number (90172334070).

Almost surely, 2^{55000008122400} is an apocalyptic number.

55000008122400 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 55000008122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116863344954720).

55000008122400 is an abundant number, since it is smaller than the sum of its proper divisors (178726681787040).

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

55000008122400 is a wasteful number, since it uses less digits than its factorization.

55000008122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 55000008122400 its reverse (422180000055), we get a palindrome (55422188122455).

The spelling of 55000008122400 in words is "fifty-five trillion, eight million, one hundred twenty-two thousand, four hundred".