1965487436352 has 392 divisors, whose sum is σ = 6422396299200. Its totient is φ = 591581905920.

The previous prime is 1965487436333. The next prime is 1965487436387. The reversal of 1965487436352 is 2536347845691.

1965487436352 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 487 + 43 + 63 + 52 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1965487436352.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76456333 + ... + 76482035.

Almost surely, 2^{1965487436352} is an apocalyptic number.

1965487436352 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 1965487436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211198149600).

1965487436352 is an abundant number, since it is smaller than the sum of its proper divisors (4456908862848).

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

1965487436352 is a wasteful number, since it uses less digits than its factorization.

1965487436352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25893 (or 25868 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 1965487436352 in words is "one trillion, nine hundred sixty-five billion, four hundred eighty-seven million, four hundred thirty-six thousand, three hundred fifty-two".