11381518370880 has 4032 divisors, whose sum is σ = 53068397840640. Its totient is φ = 2303555272704.

The previous prime is 11381518370767. The next prime is 11381518370917. The reversal of 11381518370880 is 8807381518311.

11381518370880 is a `hidden beast` number, since 1 + 1 + 381 + 5 + 183 + 7 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 137126727319 + ... + 137126727401.

It is an arithmetic number, because the mean of its divisors is an integer number (13161805020).

Almost surely, 2^{11381518370880} is an apocalyptic number.

11381518370880 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 11381518370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26534198920320).

11381518370880 is an abundant number, since it is smaller than the sum of its proper divisors (41686879469760).

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

11381518370880 is a wasteful number, since it uses less digits than its factorization.

11381518370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 11381518370880 in words is "eleven trillion, three hundred eighty-one billion, five hundred eighteen million, three hundred seventy thousand, eight hundred eighty".