54680374964160 has 1344 divisors, whose sum is σ = 216712975564800. Its totient is φ = 12531378585600.

The previous prime is 54680374964141. The next prime is 54680374964161. The reversal of 54680374964160 is 6146947308645.

54680374964160 is a `hidden beast` number, since 5 + 4 + 6 + 80 + 3 + 7 + 496 + 4 + 1 + 60 = 666.

54680374964160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54680374964160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54680374964161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38264782326 + ... + 38264783754.

Almost surely, 2^{54680374964160} 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 54680374964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108356487782400).

54680374964160 is an abundant number, since it is smaller than the sum of its proper divisors (162032600600640).

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

54680374964160 is a wasteful number, since it uses less digits than its factorization.

54680374964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 54680374964160 in words is "fifty-four trillion, six hundred eighty billion, three hundred seventy-four million, nine hundred sixty-four thousand, one hundred sixty".