11377007808768 has 1620 divisors, whose sum is σ = 42081986161488. Its totient is φ = 3064896092160.

The previous prime is 11377007808739. The next prime is 11377007808811. The reversal of 11377007808768 is 86780870077311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53919468183 + ... + 53919468393.

Almost surely, 2^{11377007808768} is an apocalyptic number.

11377007808768 is a gapful number since it is divisible by the number (18) 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 11377007808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21040993080744).

11377007808768 is an abundant number, since it is smaller than the sum of its proper divisors (30704978352720).

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

11377007808768 is an frugal number, since it uses more digits than its factorization.

11377007808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 11377007808768 in words is "eleven trillion, three hundred seventy-seven billion, seven million, eight hundred eight thousand, seven hundred sixty-eight".