54663619046400 has 3168 divisors, whose sum is σ = 254065566763008. Its totient is φ = 11337184051200.

The previous prime is 54663619046261. The next prime is 54663619046423. The reversal of 54663619046400 is 464091636645.

54663619046400 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 3 + 6 + 190 + 46 + 400 = 666.

It is a super-2 number, since 2×54663619046400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34531660009 + ... + 34531661591.

It is an arithmetic number, because the mean of its divisors is an integer number (80197464256).

Almost surely, 2^{54663619046400} is an apocalyptic number.

54663619046400 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 54663619046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127032783381504).

54663619046400 is an abundant number, since it is smaller than the sum of its proper divisors (199401947716608).

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

54663619046400 is a wasteful number, since it uses less digits than its factorization.

54663619046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 54663619046400 in words is "fifty-four trillion, six hundred sixty-three billion, six hundred nineteen million, forty-six thousand, four hundred".