54742550728320 has 1536 divisors, whose sum is σ = 234753702543360. Its totient is φ = 11446382592000.

The previous prime is 54742550728319. The next prime is 54742550728321. The reversal of 54742550728320 is 2382705524745.

54742550728320 is a `hidden beast` number, since 5 + 4 + 7 + 4 + 2 + 550 + 7 + 2 + 83 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54742550728319) and next prime (54742550728321).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54742550728321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37727463595 + ... + 37727465045.

It is an arithmetic number, because the mean of its divisors is an integer number (152834441760).

Almost surely, 2^{54742550728320} 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 54742550728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117376851271680).

54742550728320 is an abundant number, since it is smaller than the sum of its proper divisors (180011151815040).

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

54742550728320 is a wasteful number, since it uses less digits than its factorization.

54742550728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 54742550728320 in words is "fifty-four trillion, seven hundred forty-two billion, five hundred fifty million, seven hundred twenty-eight thousand, three hundred twenty".