54369938304 has 384 divisors, whose sum is σ = 178258635360. Its totient is φ = 15759360000.

The previous prime is 54369938297. The next prime is 54369938323. The reversal of 54369938304 is 40383996345.

54369938304 is a `hidden beast` number, since 543 + 6 + 9 + 93 + 8 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28599754 + ... + 28601654.

Almost surely, 2^54369938304 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 54369938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89129317680).

54369938304 is an abundant number, since it is smaller than the sum of its proper divisors (123888697056).

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

54369938304 is a wasteful number, since it uses less digits than its factorization.

54369938304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 54369938304 in words is "fifty-four billion, three hundred sixty-nine million, nine hundred thirty-eight thousand, three hundred four".