54688646880 has 768 divisors, whose sum is σ = 224956569600. Its totient is φ = 12303747072.

The previous prime is 54688646867. The next prime is 54688646891. The reversal of 54688646880 is 8864688645.

54688646880 is a `hidden beast` number, since 546 + 8 + 8 + 6 + 4 + 6 + 8 + 80 = 666.

54688646880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203303386 + ... + 203303654.

It is an arithmetic number, because the mean of its divisors is an integer number (292912200).

Almost surely, 2^54688646880 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 54688646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112478284800).

54688646880 is an abundant number, since it is smaller than the sum of its proper divisors (170267922720).

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

54688646880 is an equidigital number, since it uses as much as digits as its factorization.

54688646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 54688646880 in words is "fifty-four billion, six hundred eighty-eight million, six hundred forty-six thousand, eight hundred eighty".