53509216320 has 336 divisors, whose sum is σ = 222716677248. Its totient is φ = 11511152640.

The previous prime is 53509216309. The next prime is 53509216351. The reversal of 53509216320 is 2361290535.

53509216320 is a `hidden beast` number, since 53 + 509 + 21 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264655 + ... + 420785.

Almost surely, 2^53509216320 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 53509216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111358338624).

53509216320 is an abundant number, since it is smaller than the sum of its proper divisors (169207460928).

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

53509216320 is a wasteful number, since it uses less digits than its factorization.

53509216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156178 (or 156165 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 53509216320 in words is "fifty-three billion, five hundred nine million, two hundred sixteen thousand, three hundred twenty".