5800161251808 has 576 divisors, whose sum is σ = 22598065324800. Its totient is φ = 1427241876480.

The previous prime is 5800161251783. The next prime is 5800161251869. The reversal of 5800161251808 is 8081521610085.

5800161251808 is a `hidden beast` number, since 580 + 0 + 1 + 6 + 12 + 51 + 8 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8520466 + ... + 9175982.

It is an arithmetic number, because the mean of its divisors is an integer number (39232752300).

Almost surely, 2^{5800161251808} 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 5800161251808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11299032662400).

5800161251808 is an abundant number, since it is smaller than the sum of its proper divisors (16797904072992).

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

5800161251808 is a wasteful number, since it uses less digits than its factorization.

5800161251808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655580 (or 655559 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 5800161251808 in words is "five trillion, eight hundred billion, one hundred sixty-one million, two hundred fifty-one thousand, eight hundred eight".