5827973477760 has 1536 divisors, whose sum is σ = 25200598176000. Its totient is φ = 1236054048768.

The previous prime is 5827973477699. The next prime is 5827973477773. The reversal of 5827973477760 is 677743797285.

5827973477760 is a `hidden beast` number, since 5 + 8 + 2 + 7 + 97 + 3 + 477 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2451817692 + ... + 2451820068.

Almost surely, 2^{5827973477760} 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 5827973477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600299088000).

5827973477760 is an abundant number, since it is smaller than the sum of its proper divisors (19372624698240).

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

5827973477760 is a wasteful number, since it uses less digits than its factorization.

5827973477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 871274880, while the sum is 72.

The spelling of 5827973477760 in words is "five trillion, eight hundred twenty-seven billion, nine hundred seventy-three million, four hundred seventy-seven thousand, seven hundred sixty".