54433418064000 has 512 divisors, whose sum is σ = 186729369465600. Its totient is φ = 14010515456000.

The previous prime is 54433418063963. The next prime is 54433418064013. The reversal of 54433418064000 is 46081433445.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7573868407 + ... + 7573875593.

Almost surely, 2^{54433418064000} is an apocalyptic number.

54433418064000 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 54433418064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93364684732800).

54433418064000 is an abundant number, since it is smaller than the sum of its proper divisors (132295951401600).

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

54433418064000 is a wasteful number, since it uses less digits than its factorization.

54433418064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12689 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 54433418064000 its reverse (46081433445), we get a palindrome (54479499497445).

The spelling of 54433418064000 in words is "fifty-four trillion, four hundred thirty-three billion, four hundred eighteen million, sixty-four thousand".