5816077658160 has 320 divisors, whose sum is σ = 22481435381760. Its totient is φ = 1208391920640.

The previous prime is 5816077658123. The next prime is 5816077658263. The reversal of 5816077658160 is 618567706185.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5816077658094 and 5816077658103.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 235847911 + ... + 235872569.

It is an arithmetic number, because the mean of its divisors is an integer number (70254485568).

Almost surely, 2^{5816077658160} 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 5816077658160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240717690880).

5816077658160 is an abundant number, since it is smaller than the sum of its proper divisors (16665357723600).

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

5816077658160 is a wasteful number, since it uses less digits than its factorization.

5816077658160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37456 (or 37450 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 5816077658160 in words is "five trillion, eight hundred sixteen billion, seventy-seven million, six hundred fifty-eight thousand, one hundred sixty".