52133172480 has 288 divisors, whose sum is σ = 189308085120. Its totient is φ = 13578485760.

The previous prime is 52133172419. The next prime is 52133172491. The reversal of 52133172480 is 8427133125.

52133172480 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 3 + 172 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468540 + ... + 1503620.

It is an arithmetic number, because the mean of its divisors is an integer number (657319740).

Almost surely, 2^52133172480 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 52133172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94654042560).

52133172480 is an abundant number, since it is smaller than the sum of its proper divisors (137174912640).

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

52133172480 is a wasteful number, since it uses less digits than its factorization.

52133172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35154 (or 35134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52133172480 in words is "fifty-two billion, one hundred thirty-three million, one hundred seventy-two thousand, four hundred eighty".