11190256000 has 512 divisors, whose sum is σ = 35928023040. Its totient is φ = 3363840000.

The previous prime is 11190255977. The next prime is 11190256003. The reversal of 11190256000 is 65209111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11190256003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38191854 + ... + 38192146.

It is an arithmetic number, because the mean of its divisors is an integer number (70171920).

Almost surely, 2^11190256000 is an apocalyptic number.

11190256000 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 11190256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964011520).

11190256000 is an abundant number, since it is smaller than the sum of its proper divisors (24737767040).

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

11190256000 is a wasteful number, since it uses less digits than its factorization.

11190256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 11190256000 in words is "eleven billion, one hundred ninety million, two hundred fifty-six thousand".