54539487475200 has 8640 divisors, whose sum is σ = 285809733792000. Its totient is φ = 10086415073280.

The previous prime is 54539487475169. The next prime is 54539487475229. The reversal of 54539487475200 is 257478493545.

It is a happy number.

54539487475200 is a `hidden beast` number, since 5 + 4 + 5 + 39 + 4 + 8 + 74 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 924398092771 + ... + 924398092829.

It is an arithmetic number, because the mean of its divisors is an integer number (33079830300).

Almost surely, 2^{54539487475200} is an apocalyptic number.

54539487475200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54539487475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142904866896000).

54539487475200 is an abundant number, since it is smaller than the sum of its proper divisors (231270246316800).

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

54539487475200 is a wasteful number, since it uses less digits than its factorization.

54539487475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 54539487475200 in words is "fifty-four trillion, five hundred thirty-nine billion, four hundred eighty-seven million, four hundred seventy-five thousand, two hundred".