54083083600 has 720 divisors, whose sum is σ = 173154917376. Its totient is φ = 16063488000.

The previous prime is 54083083589. The next prime is 54083083609. The reversal of 54083083600 is 638038045.

54083083600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54083083600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54083083609) 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, 323850717 + ... + 323850883.

Almost surely, 2^54083083600 is an apocalyptic number.

54083083600 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 54083083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86577458688).

54083083600 is an abundant number, since it is smaller than the sum of its proper divisors (119071833776).

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

54083083600 is a wasteful number, since it uses less digits than its factorization.

54083083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 54083083600 in words is "fifty-four billion, eighty-three million, eighty-three thousand, six hundred".