54511516800 has 1152 divisors, whose sum is σ = 225589728000. Its totient is φ = 12421693440.

The previous prime is 54511516793. The next prime is 54511516823. The reversal of 54511516800 is 861511545.

54511516800 is a `hidden beast` number, since 54 + 5 + 11 + 516 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 561974352 + ... + 561974448.

Almost surely, 2^54511516800 is an apocalyptic number.

54511516800 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 54511516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112794864000).

54511516800 is an abundant number, since it is smaller than the sum of its proper divisors (171078211200).

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

54511516800 is a wasteful number, since it uses less digits than its factorization.

54511516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

It can be divided in two parts, 5451 and 1516800, that added together give a palindrome (1522251).

The spelling of 54511516800 in words is "fifty-four billion, five hundred eleven million, five hundred sixteen thousand, eight hundred".