54072686080 has 480 divisors, whose sum is σ = 161181130176. Its totient is φ = 17032544256.

The previous prime is 54072686069. The next prime is 54072686089. The reversal of 54072686080 is 8068627045.

54072686080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54072686080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54072686089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274480542 + ... + 274480738.

Almost surely, 2^54072686080 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 54072686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80590565088).

54072686080 is an abundant number, since it is smaller than the sum of its proper divisors (107108444096).

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

54072686080 is a wasteful number, since it uses less digits than its factorization.

54072686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 54072686080 in words is "fifty-four billion, seventy-two million, six hundred eighty-six thousand, eighty".