5162966035920 has 960 divisors, whose sum is σ = 21900069734400. Its totient is φ = 1058874716160.

The previous prime is 5162966035919. The next prime is 5162966035943. The reversal of 5162966035920 is 295306692615.

It is a happy number.

5162966035920 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 9 + 6 + 603 + 5 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1710156171 + ... + 1710159189.

It is an arithmetic number, because the mean of its divisors is an integer number (22812572640).

Almost surely, 2^{5162966035920} 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 5162966035920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950034867200).

5162966035920 is an abundant number, since it is smaller than the sum of its proper divisors (16737103698480).

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

5162966035920 is a wasteful number, since it uses less digits than its factorization.

5162966035920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 5162966035920 in words is "five trillion, one hundred sixty-two billion, nine hundred sixty-six million, thirty-five thousand, nine hundred twenty".