54733461120 has 1536 divisors, whose sum is σ = 237381580800. Its totient is φ = 11466178560.

The previous prime is 54733461113. The next prime is 54733461131. The reversal of 54733461120 is 2116433745.

54733461120 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 34 + 611 + 2 + 0 = 666.

54733461120 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 749773404 + ... + 749773476.

It is an arithmetic number, because the mean of its divisors is an integer number (154545300).

Almost surely, 2^54733461120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54733461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118690790400).

54733461120 is an abundant number, since it is smaller than the sum of its proper divisors (182648119680).

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

54733461120 is a wasteful number, since it uses less digits than its factorization.

54733461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 54733461120 its reverse (2116433745), we get a palindrome (56849894865).

The spelling of 54733461120 in words is "fifty-four billion, seven hundred thirty-three million, four hundred sixty-one thousand, one hundred twenty".