5801455870560 has 1152 divisors, whose sum is σ = 23966104780800. Its totient is φ = 1250076672000.

The previous prime is 5801455870513. The next prime is 5801455870577. The reversal of 5801455870560 is 650785541085.

5801455870560 is a `hidden beast` number, since 5 + 8 + 0 + 1 + 4 + 5 + 5 + 8 + 70 + 560 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5801455870497 and 5801455870506.

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 191 ways as a sum of consecutive naturals, for example, 2467653385 + ... + 2467655735.

It is an arithmetic number, because the mean of its divisors is an integer number (20803910400).

Almost surely, 2^{5801455870560} 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 5801455870560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983052390400).

5801455870560 is an abundant number, since it is smaller than the sum of its proper divisors (18164648910240).

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

5801455870560 is a wasteful number, since it uses less digits than its factorization.

5801455870560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 5801455870560 in words is "five trillion, eight hundred one billion, four hundred fifty-five million, eight hundred seventy thousand, five hundred sixty".