54189531360 has 240 divisors, whose sum is σ = 193551872976. Its totient is φ = 14276155392.

The previous prime is 54189531349. The next prime is 54189531379. The reversal of 54189531360 is 6313598145.

54189531360 is a `hidden beast` number, since 5 + 4 + 1 + 89 + 531 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1050492 + ... + 1100868.

Almost surely, 2^54189531360 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 54189531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96775936488).

54189531360 is an abundant number, since it is smaller than the sum of its proper divisors (139362341616).

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

54189531360 is a wasteful number, since it uses less digits than its factorization.

54189531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50487 (or 50470 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54189531360 in words is "fifty-four billion, one hundred eighty-nine million, five hundred thirty-one thousand, three hundred sixty".