54676308960 has 1440 divisors, whose sum is σ = 249652640160. Its totient is φ = 11161608192.

The previous prime is 54676308937. The next prime is 54676308977. The reversal of 54676308960 is 6980367645.

54676308960 is a `hidden beast` number, since 546 + 7 + 6 + 3 + 0 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×54676308960² (a number of 22 digits) contains 22 as substring.

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 = 54676308897 and 54676308906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 305454151 + ... + 305454329.

It is an arithmetic number, because the mean of its divisors is an integer number (173369889).

Almost surely, 2^54676308960 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 54676308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124826320080).

54676308960 is an abundant number, since it is smaller than the sum of its proper divisors (194976331200).

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

54676308960 is a wasteful number, since it uses less digits than its factorization.

54676308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 54676308960 in words is "fifty-four billion, six hundred seventy-six million, three hundred eight thousand, nine hundred sixty".