5864838819840 has 3744 divisors, whose sum is σ = 29366818790400. Its totient is φ = 1061258526720.

The previous prime is 5864838819751. The next prime is 5864838819857. The reversal of 5864838819840 is 489188384685.

5864838819840 is a `hidden beast` number, since 5 + 86 + 48 + 388 + 1 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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 287 ways as a sum of consecutive naturals, for example, 24539074441 + ... + 24539074679.

It is an arithmetic number, because the mean of its divisors is an integer number (7843701600).

Almost surely, 2^{5864838819840} 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 5864838819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683409395200).

5864838819840 is an abundant number, since it is smaller than the sum of its proper divisors (23501979970560).

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

5864838819840 is a wasteful number, since it uses less digits than its factorization.

5864838819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 5864838819840 in words is "five trillion, eight hundred sixty-four billion, eight hundred thirty-eight million, eight hundred nineteen thousand, eight hundred forty".