5971291920 has 640 divisors, whose sum is σ = 23701340160. Its totient is φ = 1379980800.

The previous prime is 5971291897. The next prime is 5971291927. The reversal of 5971291920 is 291921795.

5971291920 is a `hidden beast` number, since 597 + 1 + 29 + 19 + 20 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (5971291927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89123727 + ... + 89123793.

It is an arithmetic number, because the mean of its divisors is an integer number (37033344).

Almost surely, 2^5971291920 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 5971291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850670080).

5971291920 is an abundant number, since it is smaller than the sum of its proper divisors (17730048240).

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

5971291920 is a wasteful number, since it uses less digits than its factorization.

5971291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 5971291920 is about 77274.1348706021. The cubic root of 5971291920 is about 1814.2178448050.

The spelling of 5971291920 in words is "five billion, nine hundred seventy-one million, two hundred ninety-one thousand, nine hundred twenty".