5820217737840 has 1920 divisors, whose sum is σ = 24064809753600. Its totient is φ = 1287556300800.

The previous prime is 5820217737839. The next prime is 5820217737863. The reversal of 5820217737840 is 487377120285.

5820217737840 is a `hidden beast` number, since 58 + 2 + 0 + 217 + 7 + 378 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20712518500 + ... + 20712518780.

It is an arithmetic number, because the mean of its divisors is an integer number (12533755080).

Almost surely, 2^{5820217737840} 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 5820217737840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032404876800).

5820217737840 is an abundant number, since it is smaller than the sum of its proper divisors (18244592015760).

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

5820217737840 is a wasteful number, since it uses less digits than its factorization.

5820217737840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 5820217737840 in words is "five trillion, eight hundred twenty billion, two hundred seventeen million, seven hundred thirty-seven thousand, eight hundred forty".