1965972072960 has 1200 divisors, whose sum is σ = 8244081485640. Its totient is φ = 446464327680.

The previous prime is 1965972072949. The next prime is 1965972072983. The reversal of 1965972072960 is 692702795691.

1965972072960 is a `hidden beast` number, since 1 + 96 + 59 + 7 + 207 + 296 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 915068254464 + 1050903818496 = 956592^2 + 1025136^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1839075306 + ... + 1839076374.

Almost surely, 2^{1965972072960} is an apocalyptic number.

1965972072960 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 1965972072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122040742820).

1965972072960 is an abundant number, since it is smaller than the sum of its proper divisors (6278109412680).

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

1965972072960 is a wasteful number, since it uses less digits than its factorization.

1965972072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 1965972072960 in words is "one trillion, nine hundred sixty-five billion, nine hundred seventy-two million, seventy-two thousand, nine hundred sixty".