11073195072000 has 2240 divisors, whose sum is σ = 45815003080704. Its totient is φ = 2653942579200.

The previous prime is 11073195071993. The next prime is 11073195072001. The reversal of 11073195072000 is 27059137011.

11073195072000 is a `hidden beast` number, since 110 + 7 + 3 + 19 + 507 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (11073195072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18242495697 + ... + 18242496303.

Almost surely, 2^{11073195072000} is an apocalyptic number.

11073195072000 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 11073195072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22907501540352).

11073195072000 is an abundant number, since it is smaller than the sum of its proper divisors (34741808008704).

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

11073195072000 is an frugal number, since it uses more digits than its factorization.

11073195072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 11073195072000 in words is "eleven trillion, seventy-three billion, one hundred ninety-five million, seventy-two thousand".