54933120000 has 1320 divisors, whose sum is σ = 235585463520. Its totient is φ = 12533760000.

The previous prime is 54933119987. The next prime is 54933120007. The reversal of 54933120000 is 2133945.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54933120007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3231359992 + ... + 3231360008.

It is an arithmetic number, because the mean of its divisors is an integer number (178473836).

Almost surely, 2^54933120000 is an apocalyptic number.

54933120000 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 54933120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117792731760).

54933120000 is an abundant number, since it is smaller than the sum of its proper divisors (180652343520).

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

54933120000 is a wasteful number, since it uses less digits than its factorization.

54933120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 54933120000 its reverse (2133945), we get a palindrome (54935253945).

The spelling of 54933120000 in words is "fifty-four billion, nine hundred thirty-three million, one hundred twenty thousand".