5973120000 has 660 divisors, whose sum is σ = 23194041156. Its totient is φ = 1474560000.

The previous prime is 5973119989. The next prime is 5973120011. The reversal of 5973120000 is 213795.

It is an interprime number because it is at equal distance from previous prime (5973119989) and next prime (5973120011).

It can be written as a sum of positive squares in 10 ways, for example, as 5281219584 + 691900416 = 72672^2 + 26304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97919970 + ... + 97920030.

Almost surely, 2^5973120000 is an apocalyptic number.

5973120000 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 5973120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597020578).

5973120000 is an abundant number, since it is smaller than the sum of its proper divisors (17220921156).

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

5973120000 is a wasteful number, since it uses less digits than its factorization.

5973120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5973120000 is about 77285.9625029022. The cubic root of 5973120000 is about 1814.4029637046.

Adding to 5973120000 its reverse (213795), we get a palindrome (5973333795).

The spelling of 5973120000 in words is "five billion, nine hundred seventy-three million, one hundred twenty thousand".