11880319942656 has 1035 divisors, whose sum is σ = 41444340702457. Its totient is φ = 3388326543360.

The previous prime is 11880319942649. The next prime is 11880319942657. The reversal of 11880319942656 is 65624991308811.

The square root of 11880319942656 is 3446784.

It is a perfect power (a square), and thus also a powerful number.

11880319942656 is a `hidden beast` number, since 1 + 18 + 8 + 0 + 3 + 199 + 426 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9249384038400 + 2630935904256 = 3041280^2 + 1622016^2 .

It is a super-2 number, since 2×11880319942656² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11880319942593 and 11880319942602.

It is not an unprimeable number, because it can be changed into a prime (11880319942657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 698842349560 + ... + 698842349576.

Almost surely, 2^{11880319942656} is an apocalyptic number.

11880319942656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11880319942656 is the 3446784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11880319942656

11880319942656 is an abundant number, since it is smaller than the sum of its proper divisors (29564020759801).

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

11880319942656 is an frugal number, since it uses more digits than its factorization.

11880319942656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 11880319942656 in words is "eleven trillion, eight hundred eighty billion, three hundred nineteen million, nine hundred forty-two thousand, six hundred fifty-six".