54368012160 has 1024 divisors, whose sum is σ = 248520960000. Its totient is φ = 10899947520.

The previous prime is 54368012143. The next prime is 54368012161. The reversal of 54368012160 is 6121086345.

It is a happy number.

54368012160 is a `hidden beast` number, since 5 + 436 + 8 + 0 + 1 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54368012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38585536 + ... + 38586944.

It is an arithmetic number, because the mean of its divisors is an integer number (242696250).

Almost surely, 2^54368012160 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 54368012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260480000).

54368012160 is an abundant number, since it is smaller than the sum of its proper divisors (194152947840).

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

54368012160 is a wasteful number, since it uses less digits than its factorization.

54368012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54368012160 in words is "fifty-four billion, three hundred sixty-eight million, twelve thousand, one hundred sixty".