11769960072780 has 768 divisors, whose sum is σ = 46570834329600. Its totient is φ = 2400686346240.

The previous prime is 11769960072757. The next prime is 11769960072851. The reversal of 11769960072780 is 8727006996711.

11769960072780 is a `hidden beast` number, since 1 + 17 + 6 + 9 + 9 + 600 + 7 + 2 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×11769960072780² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1665007086 + ... + 1665014154.

It is an arithmetic number, because the mean of its divisors is an integer number (60639107200).

Almost surely, 2^{11769960072780} is an apocalyptic number.

11769960072780 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 11769960072780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285417164800).

11769960072780 is an abundant number, since it is smaller than the sum of its proper divisors (34800874256820).

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

11769960072780 is a wasteful number, since it uses less digits than its factorization.

11769960072780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 11769960072780 in words is "eleven trillion, seven hundred sixty-nine billion, nine hundred sixty million, seventy-two thousand, seven hundred eighty".