54236884320 has 432 divisors, whose sum is σ = 200402158320. Its totient is φ = 13350125568.

The previous prime is 54236884307. The next prime is 54236884327. The reversal of 54236884320 is 2348863245.

54236884320 = 14174² + 14175² + ... + 14438².

54236884320 is a `hidden beast` number, since 542 + 3 + 6 + 8 + 84 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54236884327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22055251 + ... + 22057709.

It is an arithmetic number, because the mean of its divisors is an integer number (463893885).

Almost surely, 2^54236884320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54236884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100201079160).

54236884320 is an abundant number, since it is smaller than the sum of its proper divisors (146165274000).

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

54236884320 is a wasteful number, since it uses less digits than its factorization.

54236884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 54236884320 in words is "fifty-four billion, two hundred thirty-six million, eight hundred eighty-four thousand, three hundred twenty".