55220875334400 has 432 divisors, whose sum is σ = 183752165671200. Its totient is φ = 14603916410880.

The previous prime is 55220875334353. The next prime is 55220875334407. The reversal of 55220875334400 is 443357802255.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55220875334400.

It is not an unprimeable number, because it can be changed into a prime (55220875334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129953166 + ... + 1130002034.

It is an arithmetic number, because the mean of its divisors is an integer number (425352235350).

Almost surely, 2^{55220875334400} is an apocalyptic number.

55220875334400 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 55220875334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91876082835600).

55220875334400 is an abundant number, since it is smaller than the sum of its proper divisors (128531290336800).

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

55220875334400 is a wasteful number, since it uses less digits than its factorization.

55220875334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49384 (or 49365 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 55220875334400 in words is "fifty-five trillion, two hundred twenty billion, eight hundred seventy-five million, three hundred thirty-four thousand, four hundred".