54665924096 has 320 divisors, whose sum is σ = 134348544000. Its totient is φ = 22185418752.

The previous prime is 54665924087. The next prime is 54665924111. The reversal of 54665924096 is 69042956645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305396135 + ... + 305396313.

It is an arithmetic number, because the mean of its divisors is an integer number (419839200).

Almost surely, 2^54665924096 is an apocalyptic number.

54665924096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54665924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272000).

54665924096 is an abundant number, since it is smaller than the sum of its proper divisors (79682619904).

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

54665924096 is an equidigital number, since it uses as much as digits as its factorization.

54665924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 56.

The spelling of 54665924096 in words is "fifty-four billion, six hundred sixty-five million, nine hundred twenty-four thousand, ninety-six".