54385443840 has 1056 divisors, whose sum is σ = 223537902336. Its totient is φ = 11041505280.

The previous prime is 54385443773. The next prime is 54385443901. The reversal of 54385443840 is 4834458345.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54385443840.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745006044 + ... + 745006116.

Almost surely, 2^54385443840 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 54385443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111768951168).

54385443840 is an abundant number, since it is smaller than the sum of its proper divisors (169152458496).

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

54385443840 is a wasteful number, since it uses less digits than its factorization.

54385443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 54385443840 in words is "fifty-four billion, three hundred eighty-five million, four hundred forty-three thousand, eight hundred forty".