5836531206240 has 864 divisors, whose sum is σ = 24416658040320. Its totient is φ = 1262384621568.

The previous prime is 5836531206227. The next prime is 5836531206263. The reversal of 5836531206240 is 426021356385.

5836531206240 is a `hidden beast` number, since 5 + 8 + 3 + 6 + 5 + 3 + 12 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1478723947 + ... + 1478727893.

It is an arithmetic number, because the mean of its divisors is an integer number (28260020880).

Almost surely, 2^{5836531206240} 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 5836531206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208329020160).

5836531206240 is an abundant number, since it is smaller than the sum of its proper divisors (18580126834080).

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

5836531206240 is a wasteful number, since it uses less digits than its factorization.

5836531206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5836531206240 in words is "five trillion, eight hundred thirty-six billion, five hundred thirty-one million, two hundred six thousand, two hundred forty".