53608068864 has 576 divisors, whose sum is σ = 189379706880. Its totient is φ = 14636298240.

The previous prime is 53608068863. The next prime is 53608068887. The reversal of 53608068864 is 46886080635.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 53608068864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53608068863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154489939 + ... + 154490285.

Almost surely, 2^53608068864 is an apocalyptic number.

53608068864 is a gapful number since it is divisible by the number (54) 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 53608068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94689853440).

53608068864 is an abundant number, since it is smaller than the sum of its proper divisors (135771638016).

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

53608068864 is a wasteful number, since it uses less digits than its factorization.

53608068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 53608068864 in words is "fifty-three billion, six hundred eight million, sixty-eight thousand, eight hundred sixty-four".