1965052108800 has 1008 divisors, whose sum is σ = 8084444303520. Its totient is φ = 451215360000.

The previous prime is 1965052108783. The next prime is 1965052108829. The reversal of 1965052108800 is 88012505691.

It is a happy number.

It is a super-2 number, since 2×1965052108800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385226250 + ... + 385231350.

Almost surely, 2^{1965052108800} is an apocalyptic number.

1965052108800 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 1965052108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042222151760).

1965052108800 is an abundant number, since it is smaller than the sum of its proper divisors (6119392194720).

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

1965052108800 is a wasteful number, since it uses less digits than its factorization.

1965052108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1965052108800 in words is "one trillion, nine hundred sixty-five billion, fifty-two million, one hundred eight thousand, eight hundred".