54083936001600 has 1680 divisors, whose sum is σ = 208677821383680. Its totient is φ = 13722089472000.

The previous prime is 54083936001523. The next prime is 54083936001617. The reversal of 54083936001600 is 610063938045.

54083936001600 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 3 + 9 + 36 + 0 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 89100388497 + ... + 89100389103.

Almost surely, 2^{54083936001600} is an apocalyptic number.

54083936001600 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 54083936001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104338910691840).

54083936001600 is an abundant number, since it is smaller than the sum of its proper divisors (154593885382080).

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

54083936001600 is a wasteful number, since it uses less digits than its factorization.

54083936001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 54083936001600 its reverse (610063938045), we get a palindrome (54693999939645).

The spelling of 54083936001600 in words is "fifty-four trillion, eighty-three billion, nine hundred thirty-six million, one thousand, six hundred".