53152979020512 has 288 divisors, whose sum is σ = 172717493356800. Its totient is φ = 14221408481280.

The previous prime is 53152979020487. The next prime is 53152979020517. The reversal of 53152979020512 is 21502097925135.

53152979020512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53152979020517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14243587 + ... + 17583677.

It is an arithmetic number, because the mean of its divisors is an integer number (599713518600).

Almost surely, 2^{53152979020512} 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 53152979020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86358746678400).

53152979020512 is an abundant number, since it is smaller than the sum of its proper divisors (119564514336288).

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

53152979020512 is a wasteful number, since it uses less digits than its factorization.

53152979020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340334 (or 3340319 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 53152979020512 in words is "fifty-three trillion, one hundred fifty-two billion, nine hundred seventy-nine million, twenty thousand, five hundred twelve".