54105455200 has 144 divisors (see below), whose sum is σ = 138812834160. Its totient is φ = 20567070720.

The previous prime is 54105455177. The next prime is 54105455219. The reversal of 54105455200 is 255450145.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1251546 + ... + 1294054.

It is an arithmetic number, because the mean of its divisors is an integer number (963978015).

Almost surely, 2^54105455200 is an apocalyptic number.

54105455200 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 54105455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69406417080).

54105455200 is an abundant number, since it is smaller than the sum of its proper divisors (84707378960).

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

54105455200 is a wasteful number, since it uses less digits than its factorization.

54105455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42609 (or 42596 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 54105455200 in words is "fifty-four billion, one hundred five million, four hundred fifty-five thousand, two hundred".