1161965040750 has 768 divisors, whose sum is σ = 3625739470080. Its totient is φ = 274268160000.

The previous prime is 1161965040739. The next prime is 1161965040779. The reversal of 1161965040750 is 570405691611.

1161965040750 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 96 + 504 + 0 + 7 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1161965040696 and 1161965040705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4521264622 + ... + 4521264878.

It is an arithmetic number, because the mean of its divisors is an integer number (4721014935).

Almost surely, 2^{1161965040750} is an apocalyptic number.

1161965040750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161965040750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812869735040).

1161965040750 is an abundant number, since it is smaller than the sum of its proper divisors (2463774429330).

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

1161965040750 is a wasteful number, since it uses less digits than its factorization.

1161965040750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1161965040750 in words is "one trillion, one hundred sixty-one billion, nine hundred sixty-five million, forty thousand, seven hundred fifty".