54209143296 has 640 divisors, whose sum is σ = 202135633920. Its totient is φ = 13934592000.

The previous prime is 54209143267. The next prime is 54209143309. The reversal of 54209143296 is 69234190245.

54209143296 is a `hidden beast` number, since 5 + 4 + 209 + 1 + 432 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135184696 + ... + 135185096.

It is an arithmetic number, because the mean of its divisors is an integer number (315836928).

Almost surely, 2^54209143296 is an apocalyptic number.

54209143296 is a gapful number since it is divisible by the number (56) 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 54209143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101067816960).

54209143296 is an abundant number, since it is smaller than the sum of its proper divisors (147926490624).

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

54209143296 is a wasteful number, since it uses less digits than its factorization.

54209143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

It can be divided in two parts, 54 and 209143296, that multiplied together give a square (11293737984 = 106272²).

The spelling of 54209143296 in words is "fifty-four billion, two hundred nine million, one hundred forty-three thousand, two hundred ninety-six".