5801621760 has 360 divisors, whose sum is σ = 22650921216. Its totient is φ = 1406177280.

The previous prime is 5801621713. The next prime is 5801621789. The reversal of 5801621760 is 671261085.

5801621760 is a `hidden beast` number, since 580 + 1 + 6 + 2 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5801621760² = 67317630092210995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1137937 + ... + 1143023.

Almost surely, 2^5801621760 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 5801621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325460608).

5801621760 is an abundant number, since it is smaller than the sum of its proper divisors (16849299456).

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

5801621760 is a wasteful number, since it uses less digits than its factorization.

5801621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5801621760 is about 76168.3776904826. The cubic root of 5801621760 is about 1796.8692244039.

The spelling of 5801621760 in words is "five billion, eight hundred one million, six hundred twenty-one thousand, seven hundred sixty".