5972753156832 has 1728 divisors, whose sum is σ = 23266866954240. Its totient is φ = 1433869516800.

The previous prime is 5972753156761. The next prime is 5972753156837. The reversal of 5972753156832 is 2386513572795.

5972753156832 is a `hidden beast` number, since 5 + 9 + 7 + 2 + 7 + 5 + 31 + 568 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5972753156832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972753156837) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17723302968 + ... + 17723303304.

It is an arithmetic number, because the mean of its divisors is an integer number (13464622080).

Almost surely, 2^{5972753156832} 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 5972753156832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633433477120).

5972753156832 is an abundant number, since it is smaller than the sum of its proper divisors (17294113797408).

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

5972753156832 is a wasteful number, since it uses less digits than its factorization.

5972753156832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 5972753156832 in words is "five trillion, nine hundred seventy-two billion, seven hundred fifty-three million, one hundred fifty-six thousand, eight hundred thirty-two".