54554234400 has 288 divisors, whose sum is σ = 198573540480. Its totient is φ = 14454236160.

The previous prime is 54554234369. The next prime is 54554234407. The reversal of 54554234400 is 443245545.

54554234400 is a `hidden beast` number, since 5 + 45 + 542 + 34 + 40 + 0 = 666.

54554234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (54554234407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3383157 + ... + 3399243.

It is an arithmetic number, because the mean of its divisors is an integer number (689491460).

Almost surely, 2^54554234400 is an apocalyptic number.

54554234400 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 54554234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99286770240).

54554234400 is an abundant number, since it is smaller than the sum of its proper divisors (144019306080).

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

54554234400 is a wasteful number, since it uses less digits than its factorization.

54554234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273 (or 16254 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 54554234400 its reverse (443245545), we get a palindrome (54997479945).

The spelling of 54554234400 in words is "fifty-four billion, five hundred fifty-four million, two hundred thirty-four thousand, four hundred".