53513828160 has 224 divisors, whose sum is σ = 187923050112. Its totient is φ = 12816506880.

The previous prime is 53513828107. The next prime is 53513828167. The reversal of 53513828160 is 6182831535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53513828167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 403815 + ... + 519705.

It is an arithmetic number, because the mean of its divisors is an integer number (838942188).

Almost surely, 2^53513828160 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 53513828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93961525056).

53513828160 is an abundant number, since it is smaller than the sum of its proper divisors (134409221952).

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

53513828160 is a wasteful number, since it uses less digits than its factorization.

53513828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115961 (or 115951 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 53513828160 in words is "fifty-three billion, five hundred thirteen million, eight hundred twenty-eight thousand, one hundred sixty".