1965855705552 has 160 divisors (see below), whose sum is σ = 5662721292800. Its totient is φ = 652967142912.

The previous prime is 1965855705551. The next prime is 1965855705553. The reversal of 1965855705552 is 2555075585691.

1965855705552 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 8 + 5 + 5 + 70 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (1965855705551) and next prime (1965855705553).

It is a self number, because there is not a number n which added to its sum of digits gives 1965855705552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965855705551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226555038 + ... + 226563714.

It is an arithmetic number, because the mean of its divisors is an integer number (35392008080).

Almost surely, 2^{1965855705552} is an apocalyptic number.

1965855705552 is a gapful number since it is divisible by the number (12) 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 1965855705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831360646400).

1965855705552 is an abundant number, since it is smaller than the sum of its proper divisors (3696865587248).

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

1965855705552 is a wasteful number, since it uses less digits than its factorization.

1965855705552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 94500000, while the sum is 63.

The spelling of 1965855705552 in words is "one trillion, nine hundred sixty-five billion, eight hundred fifty-five million, seven hundred five thousand, five hundred fifty-two".