11419056000 has 896 divisors, whose sum is σ = 46957903200. Its totient is φ = 2737152000.

The previous prime is 11419055983. The next prime is 11419056007. The reversal of 11419056000 is 65091411.

11419056000 is a `hidden beast` number, since 1 + 14 + 1 + 90 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×11419056000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11419056007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128303956 + ... + 128304044.

Almost surely, 2^11419056000 is an apocalyptic number.

11419056000 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 11419056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478951600).

11419056000 is an abundant number, since it is smaller than the sum of its proper divisors (35538847200).

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

11419056000 is an frugal number, since it uses more digits than its factorization.

11419056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11419056000 in words is "eleven billion, four hundred nineteen million, fifty-six thousand".