5835650800896 has 648 divisors, whose sum is σ = 20327948606784. Its totient is φ = 1664835379200.

The previous prime is 5835650800867. The next prime is 5835650800897. The reversal of 5835650800896 is 6980080565385.

5835650800896 is a `hidden beast` number, since 5 + 8 + 35 + 6 + 508 + 0 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5835650800897) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3240227196 + ... + 3240228996.

Almost surely, 2^{5835650800896} is an apocalyptic number.

5835650800896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5835650800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163974303392).

5835650800896 is an abundant number, since it is smaller than the sum of its proper divisors (14492297805888).

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

5835650800896 is a wasteful number, since it uses less digits than its factorization.

5835650800896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 5835650800896 in words is "five trillion, eight hundred thirty-five billion, six hundred fifty million, eight hundred thousand, eight hundred ninety-six".