54638196480 has 864 divisors, whose sum is σ = 228663751680. Its totient is φ = 11775836160.

The previous prime is 54638196467. The next prime is 54638196517. The reversal of 54638196480 is 8469183645.

54638196480 is a `hidden beast` number, since 5 + 46 + 38 + 1 + 96 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165069915 + ... + 165070245.

It is an arithmetic number, because the mean of its divisors is an integer number (264657120).

Almost surely, 2^54638196480 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 54638196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114331875840).

54638196480 is an abundant number, since it is smaller than the sum of its proper divisors (174025555200).

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

54638196480 is a wasteful number, since it uses less digits than its factorization.

54638196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 54638196480 in words is "fifty-four billion, six hundred thirty-eight million, one hundred ninety-six thousand, four hundred eighty".