5952616441200 has 2880 divisors, whose sum is σ = 26385511219200. Its totient is φ = 1264564224000.

The previous prime is 5952616441183. The next prime is 5952616441207. The reversal of 5952616441200 is 21446162595.

5952616441200 is a `hidden beast` number, since 5 + 9 + 5 + 2 + 616 + 4 + 4 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5952616441207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 46870995537 + ... + 46870995663.

It is an arithmetic number, because the mean of its divisors is an integer number (9161635840).

Almost surely, 2^{5952616441200} is an apocalyptic number.

5952616441200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5952616441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192755609600).

5952616441200 is an abundant number, since it is smaller than the sum of its proper divisors (20432894778000).

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

5952616441200 is a wasteful number, since it uses less digits than its factorization.

5952616441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5952616441200 in words is "five trillion, nine hundred fifty-two billion, six hundred sixteen million, four hundred forty-one thousand, two hundred".