11380842000 has 480 divisors, whose sum is σ = 43725951360. Its totient is φ = 2736000000.

The previous prime is 11380841999. The next prime is 11380842001. The reversal of 11380842000 is 24808311.

11380842000 is a `hidden beast` number, since 1 + 1 + 380 + 84 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11380841999) and next prime (11380842001).

It is not an unprimeable number, because it can be changed into a prime (11380842001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45341875 + ... + 45342125.

It is an arithmetic number, because the mean of its divisors is an integer number (91095732).

Almost surely, 2^11380842000 is an apocalyptic number.

11380842000 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 11380842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21862975680).

11380842000 is an abundant number, since it is smaller than the sum of its proper divisors (32345109360).

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

11380842000 is a wasteful number, since it uses less digits than its factorization.

11380842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11380842000 in words is "eleven billion, three hundred eighty million, eight hundred forty-two thousand".