1133763050000 has 240 divisors, whose sum is σ = 3141687669120. Its totient is φ = 388248960000.

The previous prime is 1133763049999. The next prime is 1133763050039. The reversal of 1133763050000 is 503673311.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 415448636 + ... + 415451364.

It is an arithmetic number, because the mean of its divisors is an integer number (13090365288).

Almost surely, 2^{1133763050000} is an apocalyptic number.

1133763050000 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 1133763050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570843834560).

1133763050000 is an abundant number, since it is smaller than the sum of its proper divisors (2007924619120).

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

1133763050000 is an equidigital number, since it uses as much as digits as its factorization.

1133763050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The spelling of 1133763050000 in words is "one trillion, one hundred thirty-three billion, seven hundred sixty-three million, fifty thousand".