54729942978816 has 216 divisors, whose sum is σ = 180593626187520. Its totient is φ = 15615374819328.

The previous prime is 54729942978811. The next prime is 54729942978833. The reversal of 54729942978816 is 61887924992745.

54729942978816 is a `hidden beast` number, since 5 + 47 + 2 + 9 + 9 + 429 + 78 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (54729942978811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9236176 + ... + 13955888.

It is an arithmetic number, because the mean of its divisors is an integer number (836081602720).

Almost surely, 2^{54729942978816} is an apocalyptic number.

54729942978816 is a gapful number since it is divisible by the number (56) 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 54729942978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90296813093760).

54729942978816 is an abundant number, since it is smaller than the sum of its proper divisors (125863683208704).

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

54729942978816 is a wasteful number, since it uses less digits than its factorization.

54729942978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720461 (or 4720444 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 54729942978816 in words is "fifty-four trillion, seven hundred twenty-nine billion, nine hundred forty-two million, nine hundred seventy-eight thousand, eight hundred sixteen".