5801363430912 has 360 divisors, whose sum is σ = 19870035687216. Its totient is φ = 1657525690368.

The previous prime is 5801363430901. The next prime is 5801363430931. The reversal of 5801363430912 is 2190343631085.

5801363430912 is a `hidden beast` number, since 5 + 8 + 0 + 1 + 3 + 634 + 3 + 0 + 9 + 1 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 23391268 + ... + 23637980.

Almost surely, 2^{5801363430912} 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 5801363430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9935017843608).

5801363430912 is an abundant number, since it is smaller than the sum of its proper divisors (14068672256304).

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

5801363430912 is an frugal number, since it uses more digits than its factorization.

5801363430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246762 (or 246725 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5801363430912 in words is "five trillion, eight hundred one billion, three hundred sixty-three million, four hundred thirty thousand, nine hundred twelve".