5967101952 has 480 divisors, whose sum is σ = 21138647040. Its totient is φ = 1627914240.

The previous prime is 5967101909. The next prime is 5967101969. The reversal of 5967101952 is 2591017695.

5967101952 is a `hidden beast` number, since 596 + 7 + 1 + 0 + 1 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5967101898 and 5967101907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126959593 + ... + 126959639.

It is an arithmetic number, because the mean of its divisors is an integer number (44038848).

Almost surely, 2^5967101952 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 5967101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569323520).

5967101952 is an abundant number, since it is smaller than the sum of its proper divisors (15171545088).

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

5967101952 is an equidigital number, since it uses as much as digits as its factorization.

5967101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 5967101952 is about 77247.0190492811. The cubic root of 5967101952 is about 1813.7934088277.

The spelling of 5967101952 in words is "five billion, nine hundred sixty-seven million, one hundred one thousand, nine hundred fifty-two".