53585010720 has 288 divisors, whose sum is σ = 187978190400. Its totient is φ = 13892401152.

The previous prime is 53585010719. The next prime is 53585010733. The reversal of 53585010720 is 2701058535.

53585010720 is a `hidden beast` number, since 5 + 3 + 585 + 0 + 1 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 14177791 + ... + 14181569.

It is an arithmetic number, because the mean of its divisors is an integer number (652702050).

Almost surely, 2^53585010720 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 53585010720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93989095200).

53585010720 is an abundant number, since it is smaller than the sum of its proper divisors (134393179680).

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

53585010720 is a wasteful number, since it uses less digits than its factorization.

53585010720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 53585010720 in words is "fifty-three billion, five hundred eighty-five million, ten thousand, seven hundred twenty".