5971345920 has 480 divisors, whose sum is σ = 22252950720. Its totient is φ = 1532805120.

The previous prime is 5971345909. The next prime is 5971345967. The reversal of 5971345920 is 295431795.

It is a happy number.

5971345920 is a `hidden beast` number, since 59 + 7 + 1 + 3 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18040155 + ... + 18040485.

It is an arithmetic number, because the mean of its divisors is an integer number (46360314).

Almost surely, 2^5971345920 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 5971345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126475360).

5971345920 is an abundant number, since it is smaller than the sum of its proper divisors (16281604800).

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

5971345920 is an equidigital number, since it uses as much as digits as its factorization.

5971345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5971345920 is about 77274.4842752121. The cubic root of 5971345920 is about 1814.2233136086.

The spelling of 5971345920 in words is "five billion, nine hundred seventy-one million, three hundred forty-five thousand, nine hundred twenty".