54208498934304 has 1152 divisors, whose sum is σ = 194501306039040. Its totient is φ = 14752044933120.

The previous prime is 54208498934287. The next prime is 54208498934333. The reversal of 54208498934304 is 40343989480245.

54208498934304 is a `hidden beast` number, since 5 + 4 + 20 + 8 + 4 + 98 + 93 + 430 + 4 = 666.

It is a super-2 number, since 2×54208498934304² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4978275292 + ... + 4978286180.

It is an arithmetic number, because the mean of its divisors is an integer number (168837939270).

Almost surely, 2^{54208498934304} is an apocalyptic number.

54208498934304 is a gapful number since it is divisible by the number (54) 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 54208498934304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97250653019520).

54208498934304 is an abundant number, since it is smaller than the sum of its proper divisors (140292807104736).

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

54208498934304 is a wasteful number, since it uses less digits than its factorization.

54208498934304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 54208498934304 in words is "fifty-four trillion, two hundred eight billion, four hundred ninety-eight million, nine hundred thirty-four thousand, three hundred four".