5835699380160 has 1120 divisors, whose sum is σ = 23777155026240. Its totient is φ = 1346702671872.

The previous prime is 5835699380117. The next prime is 5835699380171. The reversal of 5835699380160 is 610839965385.

5835699380160 is a `hidden beast` number, since 5 + 8 + 3 + 5 + 6 + 99 + 380 + 160 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 621012582 + ... + 621021978.

It is an arithmetic number, because the mean of its divisors is an integer number (21229602702).

Almost surely, 2^{5835699380160} 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 5835699380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888577513120).

5835699380160 is an abundant number, since it is smaller than the sum of its proper divisors (17941455646080).

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

5835699380160 is a wasteful number, since it uses less digits than its factorization.

5835699380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9555 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 5835699380160 in words is "five trillion, eight hundred thirty-five billion, six hundred ninety-nine million, three hundred eighty thousand, one hundred sixty".