11827760983416 has 384 divisors, whose sum is σ = 39026729064960. Its totient is φ = 3285076953600.

The previous prime is 11827760983393. The next prime is 11827760983417. The reversal of 11827760983416 is 61438906772811.

11827760983416 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 7 + 7 + 609 + 8 + 3 + 4 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11827760983417) 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, 594618831 + ... + 594638721.

It is an arithmetic number, because the mean of its divisors is an integer number (101632106940).

Almost surely, 2^{11827760983416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11827760983416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513364532480).

11827760983416 is an abundant number, since it is smaller than the sum of its proper divisors (27198968081544).

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

11827760983416 is a wasteful number, since it uses less digits than its factorization.

11827760983416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137 (or 21121 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 11827760983416 in words is "eleven trillion, eight hundred twenty-seven billion, seven hundred sixty million, nine hundred eighty-three thousand, four hundred sixteen".