5952428143200 has 720 divisors, whose sum is σ = 27063729310464. Its totient is φ = 1236867148800.

The previous prime is 5952428143187. The next prime is 5952428143261. The reversal of 5952428143200 is 23418242595.

5952428143200 is a `hidden beast` number, since 5 + 9 + 5 + 2 + 428 + 14 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4393117 + ... + 5586083.

Almost surely, 2^{5952428143200} is an apocalyptic number.

5952428143200 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 5952428143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531864655232).

5952428143200 is an abundant number, since it is smaller than the sum of its proper divisors (21111301167264).

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

5952428143200 is a wasteful number, since it uses less digits than its factorization.

5952428143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193017 (or 1192995 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5952428143200 in words is "five trillion, nine hundred fifty-two billion, four hundred twenty-eight million, one hundred forty-three thousand, two hundred".