54207489667968 has 768 divisors, whose sum is σ = 196507110159360. Its totient is φ = 13963536138240.

The previous prime is 54207489667909. The next prime is 54207489667979. The reversal of 54207489667968 is 86976698470245.

54207489667968 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 7 + 489 + 6 + 6 + 79 + 68 = 666.

It is a super-2 number, since 2×54207489667968² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 788197423 + ... + 788266193.

It is an arithmetic number, because the mean of its divisors is an integer number (255868633020).

Almost surely, 2^{54207489667968} 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 54207489667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98253555079680).

54207489667968 is an abundant number, since it is smaller than the sum of its proper divisors (142299620491392).

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

54207489667968 is a wasteful number, since it uses less digits than its factorization.

54207489667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68987 (or 68972 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 54207489667968 in words is "fifty-four trillion, two hundred seven billion, four hundred eighty-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".