54066216960 has 816 divisors, whose sum is σ = 224427106176. Its totient is φ = 12230590464.

The previous prime is 54066216937. The next prime is 54066217043. The reversal of 54066216960 is 6961266045.

54066216960 is a `hidden beast` number, since 540 + 6 + 6 + 2 + 16 + 96 + 0 = 666.

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

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, 557383632 + ... + 557383728.

Almost surely, 2^54066216960 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 54066216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112213553088).

54066216960 is an abundant number, since it is smaller than the sum of its proper divisors (170360889216).

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

54066216960 is an frugal number, since it uses more digits than its factorization.

54066216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 54066216960 in words is "fifty-four billion, sixty-six million, two hundred sixteen thousand, nine hundred sixty".