52435196772 has 192 divisors, whose sum is σ = 148264058880. Its totient is φ = 14099918976.

The previous prime is 52435196753. The next prime is 52435196921. The reversal of 52435196772 is 27769153425.

It is a super-3 number, since 3×52435196772³ (a number of 33 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 76771543 + ... + 76772225.

It is an arithmetic number, because the mean of its divisors is an integer number (772208640).

Almost surely, 2^52435196772 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 52435196772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74132029440).

52435196772 is an abundant number, since it is smaller than the sum of its proper divisors (95828862108).

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

52435196772 is a wasteful number, since it uses less digits than its factorization.

52435196772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 52435196772 in words is "fifty-two billion, four hundred thirty-five million, one hundred ninety-six thousand, seven hundred seventy-two".