52016293120 has 432 divisors, whose sum is σ = 145968212880. Its totient is φ = 17712414720.

The previous prime is 52016293117. The next prime is 52016293123. The reversal of 52016293120 is 2139261025.

It is an interprime number because it is at equal distance from previous prime (52016293117) and next prime (52016293123).

It can be written as a sum of positive squares in 8 ways, for example, as 1739890944 + 50276402176 = 41712^2 + 224224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52016293123) 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 47 ways as a sum of consecutive naturals, for example, 166186084 + ... + 166186396.

Almost surely, 2^52016293120 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 52016293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72984106440).

52016293120 is an abundant number, since it is smaller than the sum of its proper divisors (93951919760).

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

52016293120 is a wasteful number, since it uses less digits than its factorization.

52016293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 52016293120 in words is "fifty-two billion, sixteen million, two hundred ninety-three thousand, one hundred twenty".