1965856815360 has 1152 divisors, whose sum is σ = 7408790323200. Its totient is φ = 493005864960.

The previous prime is 1965856815331. The next prime is 1965856815371. The reversal of 1965856815360 is 635186585691.

1965856815360 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 8 + 568 + 1 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1965856815360² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5356557897 + ... + 5356558263.

It is an arithmetic number, because the mean of its divisors is an integer number (6431241600).

Almost surely, 2^{1965856815360} is an apocalyptic number.

1965856815360 is a gapful number since it is divisible by the number (10) 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 1965856815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704395161600).

1965856815360 is an abundant number, since it is smaller than the sum of its proper divisors (5442933507840).

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

1965856815360 is a wasteful number, since it uses less digits than its factorization.

1965856815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 1965856815360 in words is "one trillion, nine hundred sixty-five billion, eight hundred fifty-six million, eight hundred fifteen thousand, three hundred sixty".