53345345052132 has 288 divisors, whose sum is σ = 157577264499200. Its totient is φ = 15210218983680.

The previous prime is 53345345052071. The next prime is 53345345052157. The reversal of 53345345052132 is 23125054354335.

53345345052132 is a `hidden beast` number, since 5 + 3 + 3 + 4 + 5 + 3 + 4 + 505 + 2 + 132 = 666.

53345345052132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×53345345052132³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20153132433 + ... + 20153135079.

Almost surely, 2^{53345345052132} 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 53345345052132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78788632249600).

53345345052132 is an abundant number, since it is smaller than the sum of its proper divisors (104231919447068).

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

53345345052132 is a wasteful number, since it uses less digits than its factorization.

53345345052132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 53345345052132 in words is "fifty-three trillion, three hundred forty-five billion, three hundred forty-five million, fifty-two thousand, one hundred thirty-two".