11288671056000 has 1024 divisors, whose sum is σ = 44975789913600. Its totient is φ = 2766503116800.

The previous prime is 11288671055951. The next prime is 11288671056041. The reversal of 11288671056000 is 65017688211.

11288671056000 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 86 + 7 + 1 + 0 + 560 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1308523687 + ... + 1308532313.

Almost surely, 2^{11288671056000} is an apocalyptic number.

11288671056000 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 11288671056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22487894956800).

11288671056000 is an abundant number, since it is smaller than the sum of its proper divisors (33687118857600).

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

11288671056000 is a wasteful number, since it uses less digits than its factorization.

11288671056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11288671056000 in words is "eleven trillion, two hundred eighty-eight billion, six hundred seventy-one million, fifty-six thousand".