5152933969920 has 768 divisors, whose sum is σ = 19616775048000. Its totient is φ = 1240895324160.

The previous prime is 5152933969913. The next prime is 5152933969927. The reversal of 5152933969920 is 299693392515.

5152933969920 is a `hidden beast` number, since 5 + 1 + 52 + 93 + 396 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5152933969913) and next prime (5152933969927).

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (5152933969927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643885106 + ... + 2643887054.

Almost surely, 2^{5152933969920} 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 5152933969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808387524000).

5152933969920 is an abundant number, since it is smaller than the sum of its proper divisors (14463841078080).

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

5152933969920 is a wasteful number, since it uses less digits than its factorization.

5152933969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 5152933969920 in words is "five trillion, one hundred fifty-two billion, nine hundred thirty-three million, nine hundred sixty-nine thousand, nine hundred twenty".