11069856000 has 1296 divisors, whose sum is σ = 50903448960. Its totient is φ = 2256076800.

The previous prime is 11069855969. The next prime is 11069856013. The reversal of 11069856000 is 65896011.

11069856000 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 98 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 582623991 + ... + 582624009.

Almost surely, 2^11069856000 is an apocalyptic number.

11069856000 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 11069856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25451724480).

11069856000 is an abundant number, since it is smaller than the sum of its proper divisors (39833592960).

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

11069856000 is a wasteful number, since it uses less digits than its factorization.

11069856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11069856000 in words is "eleven billion, sixty-nine million, eight hundred fifty-six thousand".