11073706000 has 120 divisors (see below), whose sum is σ = 31148124696. Its totient is φ = 3796665600.

The previous prime is 11073705961. The next prime is 11073706001. The reversal of 11073706000 is 60737011.

It can be written as a sum of positive squares in 4 ways, for example, as 218566656 + 10855139344 = 14784^2 + 104188^2 .

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 (11073706001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41502 + ... + 154498.

Almost surely, 2^11073706000 is an apocalyptic number.

11073706000 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 11073706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574062348).

11073706000 is an abundant number, since it is smaller than the sum of its proper divisors (20074418696).

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

11073706000 is a wasteful number, since it uses less digits than its factorization.

11073706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113034 (or 113011 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The spelling of 11073706000 in words is "eleven billion, seventy-three million, seven hundred six thousand".