11763233082720 has 576 divisors, whose sum is σ = 49975495395840. Its totient is φ = 2571836230656.

The previous prime is 11763233082677. The next prime is 11763233082721. The reversal of 11763233082720 is 2728033236711.

It is a happy number.

11763233082720 is a `hidden beast` number, since 1 + 1 + 7 + 632 + 3 + 3 + 0 + 8 + 2 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11763233082721) 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, 3660579 + ... + 6076701.

It is an arithmetic number, because the mean of its divisors is an integer number (86763012840).

Almost surely, 2^{11763233082720} is an apocalyptic number.

11763233082720 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 11763233082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987747697920).

11763233082720 is an abundant number, since it is smaller than the sum of its proper divisors (38212262313120).

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

11763233082720 is a wasteful number, since it uses less digits than its factorization.

11763233082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416184 (or 2416163 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 11763233082720 in words is "eleven trillion, seven hundred sixty-three billion, two hundred thirty-three million, eighty-two thousand, seven hundred twenty".