11379718944000 has 3456 divisors, whose sum is σ = 51603164121600. Its totient is φ = 2452488192000.

The previous prime is 11379718943977. The next prime is 11379718944007. The reversal of 11379718944000 is 44981797311.

It is a happy number.

11379718944000 is a `hidden beast` number, since 1 + 1 + 37 + 97 + 1 + 89 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379718944007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33767711832 + ... + 33767712168.

It is an arithmetic number, because the mean of its divisors is an integer number (14931471100).

Almost surely, 2^{11379718944000} is an apocalyptic number.

11379718944000 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 11379718944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801582060800).

11379718944000 is an abundant number, since it is smaller than the sum of its proper divisors (40223445177600).

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

11379718944000 is a wasteful number, since it uses less digits than its factorization.

11379718944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11379718944000 in words is "eleven trillion, three hundred seventy-nine billion, seven hundred eighteen million, nine hundred forty-four thousand".