1163936816640 has 960 divisors, whose sum is σ = 4488125241600. Its totient is φ = 276962476032.

The previous prime is 1163936816633. The next prime is 1163936816641. The reversal of 1163936816640 is 466186393611.

It is a happy number.

1163936816640 is a `hidden beast` number, since 116 + 3 + 9 + 368 + 166 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163936816641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1252891696 + ... + 1252892624.

It is an arithmetic number, because the mean of its divisors is an integer number (4675130460).

Almost surely, 2^{1163936816640} is an apocalyptic number.

1163936816640 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 1163936816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244062620800).

1163936816640 is an abundant number, since it is smaller than the sum of its proper divisors (3324188424960).

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

1163936816640 is a wasteful number, since it uses less digits than its factorization.

1163936816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1163936816640 in words is "one trillion, one hundred sixty-three billion, nine hundred thirty-six million, eight hundred sixteen thousand, six hundred forty".