53508264685920 has 1440 divisors, whose sum is σ = 210540393201600. Its totient is φ = 12787207741440.

The previous prime is 53508264685913. The next prime is 53508264685921. The reversal of 53508264685920 is 2958646280535.

53508264685920 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 82 + 6 + 468 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53508264685921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39142841077 + ... + 39142842443.

It is an arithmetic number, because the mean of its divisors is an integer number (146208606390).

Almost surely, 2^{53508264685920} 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 53508264685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105270196600800).

53508264685920 is an abundant number, since it is smaller than the sum of its proper divisors (157032128515680).

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

53508264685920 is a wasteful number, since it uses less digits than its factorization.

53508264685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 53508264685920 in words is "fifty-three trillion, five hundred eight billion, two hundred sixty-four million, six hundred eighty-five thousand, nine hundred twenty".