53525419868160 has 1920 divisors, whose sum is σ = 203293388390400. Its totient is φ = 13341818880000.

The previous prime is 53525419868143. The next prime is 53525419868171. The reversal of 53525419868160 is 6186891452535.

53525419868160 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 5 + 419 + 86 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 408590991295 + ... + 408590991425.

It is an arithmetic number, because the mean of its divisors is an integer number (105881973120).

Almost surely, 2^{53525419868160} 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 53525419868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101646694195200).

53525419868160 is an abundant number, since it is smaller than the sum of its proper divisors (149767968522240).

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

53525419868160 is a wasteful number, since it uses less digits than its factorization.

53525419868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 53525419868160 in words is "fifty-three trillion, five hundred twenty-five billion, four hundred nineteen million, eight hundred sixty-eight thousand, one hundred sixty".