11379916800 has 900 divisors, whose sum is σ = 49163606800. Its totient is φ = 2601123840.

The previous prime is 11379916789. The next prime is 11379916813. The reversal of 11379916800 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 (900).

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 (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1625702397 + ... + 1625702403.

Almost surely, 2^11379916800 is an apocalyptic number.

11379916800 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 11379916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24581803400).

11379916800 is an abundant number, since it is smaller than the sum of its proper divisors (37783690000).

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

11379916800 is an frugal number, since it uses more digits than its factorization.

11379916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

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

Multiplying 11379916800 by its product of nonzero digits (81648), we get a square (929147446886400 = 30481920²).

The spelling of 11379916800 in words is "eleven billion, three hundred seventy-nine million, nine hundred sixteen thousand, eight hundred".