5866768164000 has 192 divisors, whose sum is σ = 19232516040192. Its totient is φ = 1563414656000.

The previous prime is 5866768163959. The next prime is 5866768164001. The reversal of 5866768164000 is 4618676685.

It is not an unprimeable number, because it can be changed into a prime (5866768164001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17679610 + ... + 18008390.

It is an arithmetic number, because the mean of its divisors is an integer number (100169354376).

Almost surely, 2^{5866768164000} is an apocalyptic number.

5866768164000 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 5866768164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616258020096).

5866768164000 is an abundant number, since it is smaller than the sum of its proper divisors (13365747876192).

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

5866768164000 is a wasteful number, since it uses less digits than its factorization.

5866768164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330296 (or 330278 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 5866768164000 in words is "five trillion, eight hundred sixty-six billion, seven hundred sixty-eight million, one hundred sixty-four thousand".