5808977778240 has 2240 divisors, whose sum is σ = 26521248821760. Its totient is φ = 1173850030080.

The previous prime is 5808977778239. The next prime is 5808977778251. The reversal of 5808977778240 is 428777798085.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×5808977778240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11149669180 + ... + 11149669700.

It is an arithmetic number, because the mean of its divisors is an integer number (11839843224).

Almost surely, 2^{5808977778240} 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 5808977778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260624410880).

5808977778240 is an abundant number, since it is smaller than the sum of its proper divisors (20712271043520).

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

5808977778240 is a wasteful number, since it uses less digits than its factorization.

5808977778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 442552320, while the sum is 72.

The spelling of 5808977778240 in words is "five trillion, eight hundred eight billion, nine hundred seventy-seven million, seven hundred seventy-eight thousand, two hundred forty".