54676944000 has 1536 divisors, whose sum is σ = 243262656000. Its totient is φ = 12192768000.

The previous prime is 54676943999. The next prime is 54676944001. The reversal of 54676944000 is 44967645.

54676944000 is a `hidden beast` number, since 546 + 7 + 69 + 4 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54676943999) and next prime (54676944001).

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

It is not an unprimeable number, because it can be changed into a prime (54676944001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333583980 + ... + 1333584020.

It is an arithmetic number, because the mean of its divisors is an integer number (158374125).

Almost surely, 2^54676944000 is an apocalyptic number.

54676944000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54676944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121631328000).

54676944000 is an abundant number, since it is smaller than the sum of its proper divisors (188585712000).

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

54676944000 is an frugal number, since it uses more digits than its factorization.

54676944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54676944000 in words is "fifty-four billion, six hundred seventy-six million, nine hundred forty-four thousand".