11073095687808 has 512 divisors, whose sum is σ = 40803969024000. Its totient is φ = 2871977472000.

The previous prime is 11073095687791. The next prime is 11073095687813. The reversal of 11073095687808 is 80878659037011.

It is a super-2 number, since 2×11073095687808² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186514833 + ... + 186574191.

It is an arithmetic number, because the mean of its divisors is an integer number (79695252000).

Almost surely, 2^{11073095687808} is an apocalyptic number.

11073095687808 is a gapful number since it is divisible by the number (18) 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 11073095687808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401984512000).

11073095687808 is an abundant number, since it is smaller than the sum of its proper divisors (29730873336192).

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

11073095687808 is a wasteful number, since it uses less digits than its factorization.

11073095687808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60101 (or 60083 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 11073095687808 in words is "eleven trillion, seventy-three billion, ninety-five million, six hundred eighty-seven thousand, eight hundred eight".