54810964800 has 1008 divisors, whose sum is σ = 217918052352. Its totient is φ = 13005619200.

The previous prime is 54810964781. The next prime is 54810964807. The reversal of 54810964800 is 846901845.

54810964800 is a `hidden beast` number, since 5 + 4 + 81 + 0 + 96 + 480 + 0 = 666.

54810964800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54810964807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 431582337 + ... + 431582463.

It is an arithmetic number, because the mean of its divisors is an integer number (216188544).

Almost surely, 2^54810964800 is an apocalyptic number.

54810964800 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 54810964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108959026176).

54810964800 is an abundant number, since it is smaller than the sum of its proper divisors (163107087552).

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

54810964800 is a wasteful number, since it uses less digits than its factorization.

54810964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 54810964800 in words is "fifty-four billion, eight hundred ten million, nine hundred sixty-four thousand, eight hundred".