54325601824104 has 384 divisors, whose sum is σ = 169238012580000. Its totient is φ = 15594995515392.

The previous prime is 54325601824093. The next prime is 54325601824127. The reversal of 54325601824104 is 40142810652345.

54325601824104 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 5 + 601 + 8 + 24 + 10 + 4 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5825938035204 + 48499663788900 = 2413698^2 + 6964170^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54325601824104.

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, 1545562722 + ... + 1545597870.

Almost surely, 2^{54325601824104} 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 54325601824104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84619006290000).

54325601824104 is an abundant number, since it is smaller than the sum of its proper divisors (114912410755896).

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

54325601824104 is a wasteful number, since it uses less digits than its factorization.

54325601824104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36037 (or 36030 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54325601824104 in words is "fifty-four trillion, three hundred twenty-five billion, six hundred one million, eight hundred twenty-four thousand, one hundred four".