2065503833568 has 672 divisors, whose sum is σ = 7503405477120. Its totient is φ = 545972244480.

The previous prime is 2065503833543. The next prime is 2065503833579. The reversal of 2065503833568 is 8653383055602.

2065503833568 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 503 + 83 + 3 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2065503833568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163779583 + ... + 163792193.

It is an arithmetic number, because the mean of its divisors is an integer number (11165781960).

Almost surely, 2^{2065503833568} is an apocalyptic number.

2065503833568 is a gapful number since it is divisible by the number (28) 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 2065503833568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751702738560).

2065503833568 is an abundant number, since it is smaller than the sum of its proper divisors (5437901643552).

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

2065503833568 is a wasteful number, since it uses less digits than its factorization.

2065503833568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2065503833568 in words is "two trillion, sixty-five billion, five hundred three million, eight hundred thirty-three thousand, five hundred sixty-eight".