53008378668 has 288 divisors, whose sum is σ = 169260908544. Its totient is φ = 14176565568.

The previous prime is 53008378663. The next prime is 53008378681. The reversal of 53008378668 is 86687380035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53008378663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7351521 + ... + 7358727.

It is an arithmetic number, because the mean of its divisors is an integer number (587711488).

Almost surely, 2^53008378668 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 53008378668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630454272).

53008378668 is an abundant number, since it is smaller than the sum of its proper divisors (116252529876).

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

53008378668 is a wasteful number, since it uses less digits than its factorization.

53008378668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 53008378668 in words is "fifty-three billion, eight million, three hundred seventy-eight thousand, six hundred sixty-eight".