5952945312000 has 360 divisors, whose sum is σ = 22152765667032. Its totient is φ = 1587451392000.

The previous prime is 5952945311981. The next prime is 5952945312001. The reversal of 5952945312000 is 2135492595.

5952945312000 is a `hidden beast` number, since 5 + 9 + 5 + 2 + 94 + 531 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 403641667584 + 5549303644416 = 635328^2 + 2355696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5952945312001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1443670 + ... + 3740330.

Almost surely, 2^{5952945312000} is an apocalyptic number.

5952945312000 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 5952945312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076382833516).

5952945312000 is an abundant number, since it is smaller than the sum of its proper divisors (16199820355032).

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

5952945312000 is an equidigital number, since it uses as much as digits as its factorization.

5952945312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296704 (or 2296671 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 5952945312000 in words is "five trillion, nine hundred fifty-two billion, nine hundred forty-five million, three hundred twelve thousand".