53258593248 has 288 divisors, whose sum is σ = 177594633216. Its totient is φ = 14822728704.

The previous prime is 53258593187. The next prime is 53258593261. The reversal of 53258593248 is 84239585235.

It is a happy number.

53258593248 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 8 + 593 + 2 + 48 = 666.

53258593248 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 (288).

It is a super-2 number, since 2×53258593248² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53258593194 and 53258593203.

It is a congruent number.

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, 48284665 + ... + 48285767.

It is an arithmetic number, because the mean of its divisors is an integer number (616648032).

Almost surely, 2^53258593248 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 53258593248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88797316608).

53258593248 is an abundant number, since it is smaller than the sum of its proper divisors (124336039968).

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

53258593248 is a wasteful number, since it uses less digits than its factorization.

53258593248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1715 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 53258593248 in words is "fifty-three billion, two hundred fifty-eight million, five hundred ninety-three thousand, two hundred forty-eight".