11828768379120 has 3200 divisors, whose sum is σ = 55195699249152. Its totient is φ = 2276663500800.

The previous prime is 11828768379097. The next prime is 11828768379121. The reversal of 11828768379120 is 2197386782811.

11828768379120 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 87 + 68 + 379 + 120 = 666.

It is a super-2 number, since 2×11828768379120² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828768379121) by changing a digit.

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 639 ways as a sum of consecutive naturals, for example, 38530190007 + ... + 38530190313.

Almost surely, 2^{11828768379120} is an apocalyptic number.

11828768379120 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 11828768379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597849624576).

11828768379120 is an abundant number, since it is smaller than the sum of its proper divisors (43366930870032).

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

11828768379120 is a wasteful number, since it uses less digits than its factorization.

11828768379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 11828768379120 in words is "eleven trillion, eight hundred twenty-eight billion, seven hundred sixty-eight million, three hundred seventy-nine thousand, one hundred twenty".