54384547426020 has 1152 divisors, whose sum is σ = 213892664670720. Its totient is φ = 11394315878400.

The previous prime is 54384547426007. The next prime is 54384547426039. The reversal of 54384547426020 is 2062474548345.

It is a happy number.

54384547426020 is a `hidden beast` number, since 5 + 4 + 38 + 4 + 547 + 4 + 2 + 60 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3266134695 + ... + 3266151345.

It is an arithmetic number, because the mean of its divisors is an integer number (185670715860).

Almost surely, 2^{54384547426020} 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 54384547426020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106946332335360).

54384547426020 is an abundant number, since it is smaller than the sum of its proper divisors (159508117244700).

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

54384547426020 is a wasteful number, since it uses less digits than its factorization.

54384547426020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16875 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 54384547426020 in words is "fifty-four trillion, three hundred eighty-four billion, five hundred forty-seven million, four hundred twenty-six thousand, twenty".