54276168960 has 864 divisors, whose sum is σ = 216990778368. Its totient is φ = 12899450880.

The previous prime is 54276168937. The next prime is 54276168971. The reversal of 54276168960 is 6986167245.

54276168960 is a `hidden beast` number, since 542 + 7 + 6 + 1 + 6 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54276168897 and 54276168906.

It is a congruent number.

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, 125348904 + ... + 125349336.

Almost surely, 2^54276168960 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 54276168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108495389184).

54276168960 is an abundant number, since it is smaller than the sum of its proper divisors (162714609408).

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

54276168960 is a wasteful number, since it uses less digits than its factorization.

54276168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 54276168960 in words is "fifty-four billion, two hundred seventy-six million, one hundred sixty-eight thousand, nine hundred sixty".