53688362168 has 256 divisors, whose sum is σ = 131401267200. Its totient is φ = 20035952640.

The previous prime is 53688362087. The next prime is 53688362179. The reversal of 53688362168 is 86126388635.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73244330 + ... + 73245062.

It is an arithmetic number, because the mean of its divisors is an integer number (513286200).

Almost surely, 2^53688362168 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 53688362168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65700633600).

53688362168 is an abundant number, since it is smaller than the sum of its proper divisors (77712905032).

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

53688362168 is a wasteful number, since it uses less digits than its factorization.

53688362168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

The spelling of 53688362168 in words is "fifty-three billion, six hundred eighty-eight million, three hundred sixty-two thousand, one hundred sixty-eight".