54685108800 has 1008 divisors, whose sum is σ = 234426995712. Its totient is φ = 12279859200.

The previous prime is 54685108787. The next prime is 54685108823. The reversal of 54685108800 is 880158645.

54685108800 is a `hidden beast` number, since 5 + 468 + 5 + 108 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×54685108800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193233459 + ... + 193233741.

It is an arithmetic number, because the mean of its divisors is an integer number (232566464).

Almost surely, 2^54685108800 is an apocalyptic number.

54685108800 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 54685108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213497856).

54685108800 is an abundant number, since it is smaller than the sum of its proper divisors (179741886912).

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

54685108800 is a wasteful number, since it uses less digits than its factorization.

54685108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 54685108800 in words is "fifty-four billion, six hundred eighty-five million, one hundred eight thousand, eight hundred".