1965364756992 has 800 divisors, whose sum is σ = 7600078147200. Its totient is φ = 491039096832.

The previous prime is 1965364756951. The next prime is 1965364757029. The reversal of 1965364756992 is 2996574635691.

1965364756992 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 3 + 6 + 475 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1965364756992.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71691384 + ... + 71718792.

It is an arithmetic number, because the mean of its divisors is an integer number (9500097684).

Almost surely, 2^{1965364756992} is an apocalyptic number.

1965364756992 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 1965364756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800039073600).

1965364756992 is an abundant number, since it is smaller than the sum of its proper divisors (5634713390208).

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

1965364756992 is a wasteful number, since it uses less digits than its factorization.

1965364756992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27478 (or 27453 counting only the distinct ones).

The product of its digits is 661348800, while the sum is 72.

The spelling of 1965364756992 in words is "one trillion, nine hundred sixty-five billion, three hundred sixty-four million, seven hundred fifty-six thousand, nine hundred ninety-two".