54983668320 has 1440 divisors, whose sum is σ = 246652922880. Its totient is φ = 11522165760.

The previous prime is 54983668309. The next prime is 54983668357. The reversal of 54983668320 is 2386638945.

54983668320 is a `hidden beast` number, since 549 + 8 + 3 + 6 + 68 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1773666705 + ... + 1773666735.

It is an arithmetic number, because the mean of its divisors is an integer number (171286752).

Almost surely, 2^54983668320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54983668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123326461440).

54983668320 is an abundant number, since it is smaller than the sum of its proper divisors (191669254560).

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

54983668320 is an equidigital number, since it uses as much as digits as its factorization.

54983668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 54983668320 in words is "fifty-four billion, nine hundred eighty-three million, six hundred sixty-eight thousand, three hundred twenty".