55188907205400 has 1920 divisors, whose sum is σ = 219147223680000. Its totient is φ = 12786401525760.

The previous prime is 55188907205371. The next prime is 55188907205407. The reversal of 55188907205400 is 450270988155.

55188907205400 is a `hidden beast` number, since 5 + 5 + 1 + 8 + 8 + 90 + 7 + 2 + 0 + 540 + 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 not an unprimeable number, because it can be changed into a prime (55188907205407) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 85830337479 + ... + 85830338121.

It is an arithmetic number, because the mean of its divisors is an integer number (114139179000).

Almost surely, 2^{55188907205400} is an apocalyptic number.

55188907205400 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 55188907205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109573611840000).

55188907205400 is an abundant number, since it is smaller than the sum of its proper divisors (163958316474600).

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

55188907205400 is a wasteful number, since it uses less digits than its factorization.

55188907205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 55188907205400 in words is "fifty-five trillion, one hundred eighty-eight billion, nine hundred seven million, two hundred five thousand, four hundred".