11379916800000 has 2160 divisors, whose sum is σ = 49558239007200. Its totient is φ = 2601123840000.

The previous prime is 11379916799971. The next prime is 11379916800073. The reversal of 11379916800000 is 861997311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2160).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1625702399997 + ... + 1625702400003.

It is an arithmetic number, because the mean of its divisors is an integer number (22943629170).

Almost surely, 2^{11379916800000} is an apocalyptic number.

11379916800000 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 11379916800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24779119503600).

11379916800000 is an abundant number, since it is smaller than the sum of its proper divisors (38178322207200).

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

11379916800000 is an frugal number, since it uses more digits than its factorization.

11379916800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11379916800000 in words is "eleven trillion, three hundred seventy-nine billion, nine hundred sixteen million, eight hundred thousand".