11878062206976 has 1456 divisors, whose sum is σ = 42326944533504. Its totient is φ = 3261363388416.

The previous prime is 11878062206963. The next prime is 11878062207001. The reversal of 11878062206976 is 67960226087811.

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 (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 105115594696 + ... + 105115594808.

Almost surely, 2^{11878062206976} is an apocalyptic number.

11878062206976 is a gapful number since it is divisible by the number (16) 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 11878062206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163472266752).

11878062206976 is an abundant number, since it is smaller than the sum of its proper divisors (30448882326528).

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

11878062206976 is an equidigital number, since it uses as much as digits as its factorization.

11878062206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 279 counting only the distinct ones).

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

The spelling of 11878062206976 in words is "eleven trillion, eight hundred seventy-eight billion, sixty-two million, two hundred six thousand, nine hundred seventy-six".