52416172032 has 208 divisors, whose sum is σ = 165240647040. Its totient is φ = 14458945536.

The previous prime is 52416172031. The next prime is 52416172037. The reversal of 52416172032 is 23027161425.

It is a super-3 number, since 3×52416172032³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52416171984 and 52416172002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52416172031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483958 + ... + 2504970.

Almost surely, 2^52416172032 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 52416172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620323520).

52416172032 is an abundant number, since it is smaller than the sum of its proper divisors (112824475008).

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

52416172032 is a wasteful number, since it uses less digits than its factorization.

52416172032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21076 (or 21054 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 52416172032 in words is "fifty-two billion, four hundred sixteen million, one hundred seventy-two thousand, thirty-two".