54424768320 has 672 divisors, whose sum is σ = 221432859648. Its totient is φ = 12604833792.

The previous prime is 54424768319. The next prime is 54424768331. The reversal of 54424768320 is 2386742445.

It is a happy number.

54424768320 is a `hidden beast` number, since 544 + 2 + 4 + 7 + 6 + 83 + 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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17183377 + ... + 17186543.

It is an arithmetic number, because the mean of its divisors is an integer number (329513184).

Almost surely, 2^54424768320 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 54424768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110716429824).

54424768320 is an abundant number, since it is smaller than the sum of its proper divisors (167008091328).

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

54424768320 is a wasteful number, since it uses less digits than its factorization.

54424768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 54424768320 in words is "fifty-four billion, four hundred twenty-four million, seven hundred sixty-eight thousand, three hundred twenty".