5971306992000 has 384 divisors, whose sum is σ = 23026709328480. Its totient is φ = 1364869632000.

The previous prime is 5971306991959. The next prime is 5971306992019. The reversal of 5971306992000 is 2996031795.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082590 + ... + 3621410.

Almost surely, 2^{5971306992000} is an apocalyptic number.

5971306992000 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 5971306992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11513354664240).

5971306992000 is an abundant number, since it is smaller than the sum of its proper divisors (17055402336480).

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

5971306992000 is a wasteful number, since it uses less digits than its factorization.

5971306992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538867 (or 2538838 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 5971306992000 in words is "five trillion, nine hundred seventy-one billion, three hundred six million, nine hundred ninety-two thousand".