5952681317520 has 960 divisors, whose sum is σ = 24691269657600. Its totient is φ = 1254176980992.

The previous prime is 5952681317519. The next prime is 5952681317521. The reversal of 5952681317520 is 257131862595.

5952681317520 is a `hidden beast` number, since 5 + 9 + 5 + 2 + 6 + 81 + 31 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (5952681317519) and next prime (5952681317521).

It is not an unprimeable number, because it can be changed into a prime (5952681317521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4254953781 + ... + 4254955179.

It is an arithmetic number, because the mean of its divisors is an integer number (25720072560).

Almost surely, 2^{5952681317520} 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 5952681317520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12345634828800).

5952681317520 is an abundant number, since it is smaller than the sum of its proper divisors (18738588340080).

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

5952681317520 is a wasteful number, since it uses less digits than its factorization.

5952681317520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5952681317520 in words is "five trillion, nine hundred fifty-two billion, six hundred eighty-one million, three hundred seventeen thousand, five hundred twenty".