54084108000 has 768 divisors, whose sum is σ = 204472719360. Its totient is φ = 12386304000.

The previous prime is 54084107999. The next prime is 54084108017. The reversal of 54084108000 is 80148045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210443872 + ... + 210444128.

It is an arithmetic number, because the mean of its divisors is an integer number (266240520).

Almost surely, 2^54084108000 is an apocalyptic number.

54084108000 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 54084108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102236359680).

54084108000 is an abundant number, since it is smaller than the sum of its proper divisors (150388611360).

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

54084108000 is a wasteful number, since it uses less digits than its factorization.

54084108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 54084108000 in words is "fifty-four billion, eighty-four million, one hundred eight thousand".