11907312768000 has 4224 divisors, whose sum is σ = 53295233472000. Its totient is φ = 2608555622400.

The previous prime is 11907312767951. The next prime is 11907312768041. The reversal of 11907312768000 is 86721370911.

11907312768000 is a `hidden beast` number, since 1 + 190 + 7 + 312 + 76 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 321819263982 + ... + 321819264018.

Almost surely, 2^{11907312768000} is an apocalyptic number.

11907312768000 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 11907312768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26647616736000).

11907312768000 is an abundant number, since it is smaller than the sum of its proper divisors (41387920704000).

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

11907312768000 is a wasteful number, since it uses less digits than its factorization.

11907312768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11907312768000 in words is "eleven trillion, nine hundred seven billion, three hundred twelve million, seven hundred sixty-eight thousand".