53679736320 has 320 divisors, whose sum is σ = 206448929280. Its totient is φ = 11623661568.

The previous prime is 53679736261. The next prime is 53679736321. The reversal of 53679736320 is 2363797635.

53679736320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53679736321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995164 + ... + 1047716.

It is an arithmetic number, because the mean of its divisors is an integer number (645152904).

Almost surely, 2^53679736320 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 53679736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103224464640).

53679736320 is an abundant number, since it is smaller than the sum of its proper divisors (152769192960).

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

53679736320 is a wasteful number, since it uses less digits than its factorization.

53679736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52605 (or 52589 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 51.

The spelling of 53679736320 in words is "fifty-three billion, six hundred seventy-nine million, seven hundred thirty-six thousand, three hundred twenty".