54919827664 has 80 divisors (see below), whose sum is σ = 118425309184. Its totient is φ = 24527180160.

The previous prime is 54919827643. The next prime is 54919827673. The reversal of 54919827664 is 46672891945.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6192097 + ... + 6200959.

Almost surely, 2^54919827664 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 54919827664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59212654592).

54919827664 is an abundant number, since it is smaller than the sum of its proper divisors (63505481520).

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

54919827664 is an equidigital number, since it uses as much as digits as its factorization.

54919827664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977 (or 8909 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 54919827664 in words is "fifty-four billion, nine hundred nineteen million, eight hundred twenty-seven thousand, six hundred sixty-four".