54668009760 has 768 divisors, whose sum is σ = 227370737664. Its totient is φ = 10712973312.

The previous prime is 54668009719. The next prime is 54668009771. The reversal of 54668009760 is 6790086645.

It is a super-2 number, since 2×54668009760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 61632037 + ... + 61632923.

It is an arithmetic number, because the mean of its divisors is an integer number (296055648).

Almost surely, 2^54668009760 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 54668009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113685368832).

54668009760 is an abundant number, since it is smaller than the sum of its proper divisors (172702727904).

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

54668009760 is a wasteful number, since it uses less digits than its factorization.

54668009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 54668009760 in words is "fifty-four billion, six hundred sixty-eight million, nine thousand, seven hundred sixty".